Piotr Biler - Author Profile

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Biler, Piotr

Author ID:	biler.piotr
Published as:	Biler, Piotr; Biler, P.; Biler, B. more...less
Homepage:	http://www.math.uni.wroc.pl/~biler/
External Links:	MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr

Documents Indexed:	108 Publications since 1984, including 3 Books
	2 Contributions as Editor · 2 Further Contributions
Reviewing Activity:	693 Reviews
Co-Authors:	30 Co-Authors with 72 Joint Publications
	873 Co-Co-Authors

all top 5

Co-Authors

39	single-authored
29	Karch, Grzegorz
21	Nadzieja, Tadeusz
10	Woyczynski, Wojbor A.
6	Dolbeault, Jean
6	Laurençot, Philippe
6	Zienkiewicz, Jacek
4	Boritchev, Alexandre
4	Brandolese, Lorenzo
4	Guerra, Ignacio A.
3	Esteban, Maria J.
3	Stańczy, Robert
2	Cannone, Marco
2	Funaki, Tadahisa
2	Hebisch, Waldemar
2	Imbert, Cyril
2	Krzywicki, Andrzej
2	Markowich, Peter Alexander
2	Pilarczyk, Dominika
2	Witkowski, Alfred
1	Banach, Stefan
1	Borsuk, Karol
1	Cieślak, Tomasz
1	Corrias, Lucilla
1	Dziubański, Jacek
1	Erdős, Pál
1	Espejo, Elio E.
1	Granas, Andrzej
1	Guedda, Mohammed
1	Hilhorst, Danielle
1	Kac, Mark
1	Kaczmarz, Stefan
1	Knaster, Bronisław
1	Krupski, Paweł
1	Kuratowski, Kazimierz
1	Mauldin, Richard Daniel
1	Monneau, Régis
1	Palczewski, Andrzej
1	Pelczar, Andrzej
1	Plebanek, Grzegorz
1	Przytycki, Józef Henryk
1	Raczyński, Andrzej
1	Saks, Stanisław
1	Schauder, Juliusz
1	Steinhaus, Hugo
1	Tabisz, Krzysztof
1	Ulam, Stanisław Marcin
1	Wakui, Hiroshi
1	Ward, Gus
1	Wu, Gang
1	Zygmund, Antoni

all top 5

Serials

8	Colloquium Mathematicum
5	Mathematical Methods in the Applied Sciences
5	Nonlinear Analysis. Theory, Methods & Applications
4	Studia Mathematica
4	Journal of Differential Equations
3	Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
3	Bulletin of the Polish Academy of Sciences, Mathematics
3	Topological Methods in Nonlinear Analysis
3	Advances in Differential Equations
3	Journal of Evolution Equations
2	Applicable Analysis
2	Nonlinearity
2	Reports on Mathematical Physics
2	Commentationes Mathematicae Universitatis Carolinae
2	Monatshefte für Mathematik
2	Advances in Mathematical Sciences and Applications
2	Applicationes Mathematicae
2	Communications on Pure and Applied Analysis
2	Banach Center Publications
2	Pure and Applied Mathematics, Marcel Dekker
1	American Mathematical Monthly
1	Archive for Rational Mechanics and Analysis
1	Communications in Mathematical Physics
1	Journal of Mathematical Biology
1	Letters in Mathematical Physics
1	Transport Theory and Statistical Physics
1	Advances in Mathematics
1	Annales Polonici Mathematici
1	Demonstratio Mathematica
1	Indiana University Mathematics Journal
1	Mathematische Annalen
1	Mathematicae Notae
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	Probability and Mathematical Statistics
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications
1	RAIRO. Modélisation Mathématique et Analyse Numérique
1	Applied Mathematics Letters
1	Differential and Integral Equations
1	Communications in Partial Differential Equations
1	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1	SIAM Journal on Applied Mathematics
1	SIAM Journal on Mathematical Analysis
1	Journal of Dynamics and Differential Equations
1	NoDEA. Nonlinear Differential Equations and Applications
1	Methods and Applications of Analysis
1	Discrete and Continuous Dynamical Systems
1	Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1	Annales Henri Poincaré
1	Annales Mathematicae Silesianae
1	Comptes Rendus. Mathématique. Académie des Sciences, Paris
1	Folia Mathematica
1	Networks and Heterogeneous Media
1	De Gruyter Series in Mathematics and Life Sciences

all top 5

Fields

105	Partial differential equations (35-XX)
29	Statistical mechanics, structure of matter (82-XX)
20	Biology and other natural sciences (92-XX)
8	Fluid mechanics (76-XX)
4	General and overarching topics; collections (00-XX)
4	History and biography (01-XX)
4	Ordinary differential equations (34-XX)
4	Probability theory and stochastic processes (60-XX)
3	Real functions (26-XX)
3	Integral equations (45-XX)
2	Sequences, series, summability (40-XX)
2	Functional analysis (46-XX)
2	Operator theory (47-XX)
2	Quantum theory (81-XX)
2	Astronomy and astrophysics (85-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Mechanics of deformable solids (74-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

93 Publications have been cited 2,249 times in 1,272 Documents	Cited by ▼	Year ▼
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021 Biler, Piotr	169	1998
The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz	160	1994
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009 Biler, Piotr	118	1999
Fractal Burgers equations. Zbl 0911.35100 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.	100	1998
Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046 Biler, Piotr; Dolbeault, Jean	94	2000
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz	74	2006
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041 Biler, Piotr; Nadzieja, Tadeusz	71	1994
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	70	2001
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177 Biler, Piotr; Karch, Grzegorz	69	2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049 Biler, Piotr; Karch, Grzegorz; Monneau, Régis	59	2010
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076 Biler, Piotr	52	1995
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490 Biler, Piotr; Wu, Gang	52	2009
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz	52	2015
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035 Biler, Piotr; Woyczynski, Wojbor A.	51	1999
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044 Biler, Piotr	50	1995
Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020 Biler, Piotr	47	1990
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015 Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz	44	1994
The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039 Mauldin, R. Daniel	44	2015
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250 Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio	44	2013
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011 Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean	42	2011
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097 Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz	41	2004
Remark on the decay for damped string and beam equations. Zbl 0611.35057 Biler, Piotr	40	1986
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz	36	2011
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	35	2001
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024 Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz	27	2004
Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025 Biler, Piotr	27	1992
Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012 Biler, Piotr	26	1992
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290 Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek	26	2017
Asymptotics for multifractal conservation laws. Zbl 0931.35015 Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.	25	1999
On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316 Biler, Piotr; Brandolese, Lorenzo	23	2009
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064 Biler, Piotr	22	1984
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046 Biler, Piotr; Nadzieja, Tadeusz	21	1993
Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415 Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert	20	2004
Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065 Biler, Piotr	20	1984
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz	20	2006
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	20	2015
Multifractal and Lévy conservation laws. Zbl 0945.35015 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	18	2000
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.	17	1999
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	17	2018
Growth and accretion of mass in an astrophysical model. Zbl 0838.35105 Biler, P.	16	1995
Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395 Biler, Piotr	16	2008
Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171 Biler, Piotr; Guerra, Ignacio	16	2012
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008 Biler, Piotr; Nadzieja, Tadeusz	16	1998
Singularities of solutions to chemotaxis systems. Zbl 1450.35001 Biler, Piotr	16	2020
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028 Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz	15	1998
Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001 Biler, Piotr; Nadzieja, Tadeusz	14	2003
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe	14	2009
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399 Biler, Piotr; Zienkiewicz, Jacek	14	2015
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398 Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz	14	2015
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616 Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika	14	2019
Problems in mathematical analysis. Zbl 0697.00003 Biler, Piotr; Witkowski, Alfred	11	1990
Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073 Biler, Piotr; Nadzieja, Tadeusz	11	1997
Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208 Biler, Piotr; Zienkiewicz, Jacek	11	2019
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013 Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz	9	2004
Nonlocal quadratic evolution problems. Zbl 0953.35070 Biler, Piotr; Woyczyński, Wojbor A.	9	2000
Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011 Biler, Piotr	8	1991
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134 Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.	8	2001
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013 Biler, Piotr; Karch, Grzegorz	7	2003
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	7	2016
Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar	6	1992
A singular problem in electrolytes theory. Zbl 0885.35051 Biler, Piotr; Nadzieja, Tadeusz	6	1997
Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011 Biler, P.; Nadzieja, T.	6	1995
Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072 Biler, Piotr	6	1989
On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086 Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz	6	2004
Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300 Biler, Piotr	6	2018
Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054 Biler, Piotr	5	1995
Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052 Biler, Piotr; Nadzieja, Tadeusz	5	2002
Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328 Biler, Piotr; Stańczy, Robert	5	2007
A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054 Biler, Piotr	4	2006
Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091 Biler, Piotr	4	1987
A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013 Biler, Piotr	4	1989
Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105 Biler, Piotr; Pilarczyk, Dominika	4	2019
Global existence versus blow up for some models of interacting particles. Zbl 1116.35015 Biler, Piotr; Brandolese, Lorenzo	3	2006
Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019 Biler, P.; Dolbeault, J.; Esteban, M. J.	3	2002
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe	3	2021
Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072 Biler, Piotr	3	2018
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459 Biler, Piotr; Cannone, Marco; Karch, Grzegorz	2	2004
Problems and examples in differential equations. Zbl 0760.34001 Biler, Piotr; Nadzieja, Tadeusz	2	1992
Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004	2	2006
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052 Biler, P.	2	1984
Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120 Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J.	2	2001
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065 Biler, Piotr; Karch, Grzegorz	2	2000
Blowup of solutions for nonlinear nonlocal heat equations. Zbl 1418.35221 Biler, Piotr	2	2019
Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe	2	2022
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071 Biler, Piotr	1	1985
In memoriam: Adam Rybarski (1930–2001). Zbl 1242.01025 Biler, Piotr; Krzywicki, Andrzej; Tabisz, Krzysztof	1	2001
Partial differential equations at the turn of the 20th and 21st centuries. Zbl 1242.35005 Biler, Piotr	1	2003
Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504 Biler, Piotr	1	2002
Mean field models for self-gravitating particles. Zbl 1181.35290 Biler, Piotr; Stańczy, Robert	1	2006
On the stationary solutions of Burgers’ equation. Zbl 0635.35008 Biler, Piotr	1	1987
Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020 Biler, Piotr	1	2001
Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions. Zbl 1503.35032 Biler, Piotr; Boritchev, Alexandre; Brandolese, Lorenzo	1	2023
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148 Biler, P.; Karch, G.; Woyczyński, W. A.	1	2001
Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions. Zbl 1503.35032 Biler, Piotr; Boritchev, Alexandre; Brandolese, Lorenzo	1	2023
Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe	2	2022
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe	3	2021
Singularities of solutions to chemotaxis systems. Zbl 1450.35001 Biler, Piotr	16	2020
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616 Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika	14	2019
Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208 Biler, Piotr; Zienkiewicz, Jacek	11	2019
Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105 Biler, Piotr; Pilarczyk, Dominika	4	2019
Blowup of solutions for nonlinear nonlocal heat equations. Zbl 1418.35221 Biler, Piotr	2	2019
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	17	2018
Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300 Biler, Piotr	6	2018
Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072 Biler, Piotr	3	2018
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290 Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek	26	2017
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	7	2016
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz	52	2015
The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039 Mauldin, R. Daniel	44	2015
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek	20	2015
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399 Biler, Piotr; Zienkiewicz, Jacek	14	2015
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398 Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz	14	2015
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250 Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio	44	2013
Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171 Biler, Piotr; Guerra, Ignacio	16	2012
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011 Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean	42	2011
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz	36	2011
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177 Biler, Piotr; Karch, Grzegorz	69	2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049 Biler, Piotr; Karch, Grzegorz; Monneau, Régis	59	2010
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490 Biler, Piotr; Wu, Gang	52	2009
On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316 Biler, Piotr; Brandolese, Lorenzo	23	2009
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe	14	2009
Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395 Biler, Piotr	16	2008
Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328 Biler, Piotr; Stańczy, Robert	5	2007
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz	74	2006
The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz	20	2006
A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054 Biler, Piotr	4	2006
Global existence versus blow up for some models of interacting particles. Zbl 1116.35015 Biler, Piotr; Brandolese, Lorenzo	3	2006
Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004	2	2006
Mean field models for self-gravitating particles. Zbl 1181.35290 Biler, Piotr; Stańczy, Robert	1	2006
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097 Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz	41	2004
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024 Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz	27	2004
Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415 Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert	20	2004
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013 Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz	9	2004
On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086 Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz	6	2004
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459 Biler, Piotr; Cannone, Marco; Karch, Grzegorz	2	2004
Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001 Biler, Piotr; Nadzieja, Tadeusz	14	2003
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013 Biler, Piotr; Karch, Grzegorz	7	2003
Partial differential equations at the turn of the 20th and 21st centuries. Zbl 1242.35005 Biler, Piotr	1	2003
Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052 Biler, Piotr; Nadzieja, Tadeusz	5	2002
Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019 Biler, P.; Dolbeault, J.; Esteban, M. J.	3	2002
Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504 Biler, Piotr	1	2002
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	70	2001
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	35	2001
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134 Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.	8	2001
Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120 Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J.	2	2001
In memoriam: Adam Rybarski (1930–2001). Zbl 1242.01025 Biler, Piotr; Krzywicki, Andrzej; Tabisz, Krzysztof	1	2001
Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020 Biler, Piotr	1	2001
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148 Biler, P.; Karch, G.; Woyczyński, W. A.	1	2001
Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046 Biler, Piotr; Dolbeault, Jean	94	2000
Multifractal and Lévy conservation laws. Zbl 0945.35015 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.	18	2000
Nonlocal quadratic evolution problems. Zbl 0953.35070 Biler, Piotr; Woyczyński, Wojbor A.	9	2000
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065 Biler, Piotr; Karch, Grzegorz	2	2000
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009 Biler, Piotr	118	1999
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035 Biler, Piotr; Woyczynski, Wojbor A.	51	1999
Asymptotics for multifractal conservation laws. Zbl 0931.35015 Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.	25	1999
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.	17	1999
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021 Biler, Piotr	169	1998
Fractal Burgers equations. Zbl 0911.35100 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.	100	1998
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008 Biler, Piotr; Nadzieja, Tadeusz	16	1998
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028 Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz	15	1998
Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073 Biler, Piotr; Nadzieja, Tadeusz	11	1997
A singular problem in electrolytes theory. Zbl 0885.35051 Biler, Piotr; Nadzieja, Tadeusz	6	1997
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076 Biler, Piotr	52	1995
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044 Biler, Piotr	50	1995
Growth and accretion of mass in an astrophysical model. Zbl 0838.35105 Biler, P.	16	1995
Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011 Biler, P.; Nadzieja, T.	6	1995
Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054 Biler, Piotr	5	1995
The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz	160	1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041 Biler, Piotr; Nadzieja, Tadeusz	71	1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015 Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz	44	1994
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046 Biler, Piotr; Nadzieja, Tadeusz	21	1993
Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025 Biler, Piotr	27	1992
Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012 Biler, Piotr	26	1992
Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar	6	1992
Problems and examples in differential equations. Zbl 0760.34001 Biler, Piotr; Nadzieja, Tadeusz	2	1992
Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011 Biler, Piotr	8	1991
Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020 Biler, Piotr	47	1990
Problems in mathematical analysis. Zbl 0697.00003 Biler, Piotr; Witkowski, Alfred	11	1990
Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072 Biler, Piotr	6	1989
A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013 Biler, Piotr	4	1989
Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091 Biler, Piotr	4	1987
On the stationary solutions of Burgers’ equation. Zbl 0635.35008 Biler, Piotr	1	1987
Remark on the decay for damped string and beam equations. Zbl 0611.35057 Biler, Piotr	40	1986
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071 Biler, Piotr	1	1985
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064 Biler, Piotr	22	1984
Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065 Biler, Piotr	20	1984
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052 Biler, P.	2	1984

all cited Publications top 5 cited Publications

all top 5

Cited by 1,367 Authors

61	Winkler, Michael
39	Biler, Piotr
29	Karch, Grzegorz
23	Laurençot, Philippe
23	Vazquez, Juan Luis
20	Lankeit, Johannes
19	Ogawa, Takayoshi
18	Liu, Zuhan
17	Mu, Chunlai
16	Carrillo de la Plata, José Antonio
16	Zhao, Jihong
14	Dolbeault, Jean
14	Zhou, Ling
13	Tao, Youshan
12	Naumkin, Pavel Ivanovich
11	Granero Belinchón, Rafael
11	Lin, Ke
11	Mizoguchi, Noriko
11	Nagai, Toshitaka
11	Suzuki, Takashi
10	Ferreira, Lucas Catão de Freitas
10	Stańczy, Robert
10	Wang, Weike
9	Black, Tobias
9	Goodrich, Christopher S.
9	Kaikina, Elena Igorevna
9	Senba, Takasi
9	Stinner, Christian
9	Sugiyama, Yoshie
9	Woyczynski, Wojbor A.
8	Calvez, Vincent
8	Cieślak, Tomasz
8	Fujie, Kentaro
8	Jüngel, Ansgar
8	Liu, Chun
8	Negreanu, Mihaela
8	Wakui, Hiroshi
8	Wang, Wei
8	Zheng, Pan
7	Ahn, Jaewook
7	Cui, Shangbin
7	Hsieh, Chia-Yu
7	Imbert, Cyril
7	Kurokiba, Masaki
7	Lei, Yuzhu
7	Mizukami, Masaaki
7	Nadzieja, Tadeusz
7	Perthame, Benoît
7	Yamamoto, Masakazu
7	Zamponi, Nicola
7	Zhang, Qian
6	Blanchet, Adrien
6	Burczak, Jan
6	Chen, Miaochao
6	Cuevas, Claudio
6	Das, Kinkar Chandra
6	del Teso, Félix
6	Deng, Chao
6	Duan, Jinqiao
6	Fan, Jishan
6	Fuest, Mario
6	Hayashi, Nakao
6	Ignatova, Mihaela
6	Liu, Ji
6	Liu, Qilin
6	Lu, Shengqi
6	Shi, Qihong
6	Souplet, Philippe
6	Tello, José Ignacio
6	van Meurs, Patrick
6	Wang, Qi
6	Wang, Shu
6	Wang, Yifu
6	Yamada, Tetsuya
6	Zheng, Sining
6	Zienkiewicz, Jacek
5	Alibaud, Nathaël
5	Bona, Jerry Lloyd
5	Bors, Dorota
5	Clark, Haroldo Rodrigues
5	Guo, Boling
5	He, Siming
5	Iagar, Razvan Gabriel
5	Jakobsen, Espen Robstad
5	Jiang, Kerui
5	Korpusov, Maksim Olegovich
5	Kurt, Halil Ibrahim
5	Lee, Fizay-Noah
5	Li, Yuxiang
5	Quirós Gracián, Fernando
5	Schmeiser, Christian
5	Shen, Jie
5	Shen, Wenxian
5	Shishmarev, Ilya Andreevich
5	Smaoui, Nejib
5	Stan, Diana
5	Suguro, Takeshi
5	Tan, Zhong
5	Tu, Xinyu
5	Wang, Bixiang
...and 1,267 more Authors

all top 5

Cited in 253 Serials

107	Journal of Differential Equations
78	Journal of Mathematical Analysis and Applications
61	Mathematical Methods in the Applied Sciences
57	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
32	Discrete and Continuous Dynamical Systems. Series B
30	Nonlinearity
29	Nonlinear Analysis. Real World Applications
24	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24	SIAM Journal on Mathematical Analysis
23	Journal of Mathematical Physics
22	Archive for Rational Mechanics and Analysis
22	ZAMP. Zeitschrift für angewandte Mathematik und Physik
21	Discrete and Continuous Dynamical Systems
20	Applicable Analysis
18	Journal of Functional Analysis
17	Applied Mathematics Letters
16	Acta Applicandae Mathematicae
16	Communications in Partial Differential Equations
16	Calculus of Variations and Partial Differential Equations
15	Computers & Mathematics with Applications
14	NoDEA. Nonlinear Differential Equations and Applications
14	Journal of Evolution Equations
13	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12	Applied Mathematics and Computation
12	Journal de Mathématiques Pures et Appliquées. Neuvième Série
12	Discrete and Continuous Dynamical Systems. Series S
11	Journal of Computational Physics
11	Communications on Pure and Applied Analysis
9	Mathematische Annalen
9	Mathematische Nachrichten
9	Monatshefte für Mathematik
9	Nonlinear Analysis. Theory, Methods & Applications
8	Advances in Mathematics
8	Physica D
8	Boundary Value Problems
7	Communications in Mathematical Physics
7	Communications on Pure and Applied Mathematics
7	Journal of the London Mathematical Society. Second Series
7	Numerische Mathematik
7	Transactions of the American Mathematical Society
7	Journal of Scientific Computing
7	Journal of Dynamics and Differential Equations
7	Communications in Nonlinear Science and Numerical Simulation
7	Communications in Contemporary Mathematics
7	Kinetic and Related Models
6	European Journal of Applied Mathematics
6	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5	Reports on Mathematical Physics
5	Indiana University Mathematics Journal
5	Chinese Annals of Mathematics. Series B
5	Applied Numerical Mathematics
5	Acta Mathematica Scientia. Series B. (English Edition)
5	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	Journal of Mathematical Biology
4	Journal of Statistical Physics
4	Proceedings of the American Mathematical Society
4	Acta Mathematicae Applicatae Sinica. English Series
4	Applications of Mathematics
4	SIAM Journal on Scientific Computing
4	Nonlinear Dynamics
4	Fractional Calculus & Applied Analysis
4	Journal of the European Mathematical Society (JEMS)
4	Acta Mathematica Sinica. English Series
4	Annales Henri Poincaré
4	Advanced Nonlinear Studies
4	Stochastics and Dynamics
4	Journal of Elliptic and Parabolic Equations
4	Mathematics in Engineering
3	Journal d’Analyse Mathématique
3	Physica A
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	Annales Polonici Mathematici
3	Mathematische Zeitschrift
3	SIAM Journal on Numerical Analysis
3	Mathematical and Computer Modelling
3	Computational Mathematics and Mathematical Physics
3	Applied Mathematical Modelling
3	SIAM Journal on Applied Mathematics
3	Stochastic Processes and their Applications
3	Journal of Nonlinear Science
3	Topological Methods in Nonlinear Analysis
3	Journal of Mathematical Sciences (New York)
3	Electronic Journal of Differential Equations (EJDE)
3	Bulletin des Sciences Mathématiques
3	Abstract and Applied Analysis
3	Journal of Mathematical Fluid Mechanics
3	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3	Analysis and Applications (Singapore)
3	Advances in Difference Equations
3	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3	Journal of Fixed Point Theory and Applications
3	Networks and Heterogeneous Media
3	Science China. Mathematics
3	Advances in Nonlinear Analysis
3	Séminaire Laurent Schwartz. EDP et Applications
2	Mathematical Notes
2	Mathematics of Computation
2	Applied Mathematics and Optimization
2	Archiv der Mathematik
2	BIT
...and 153 more Serials

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Cited in 41 Fields

1,174	Partial differential equations (35-XX)
494	Biology and other natural sciences (92-XX)
139	Fluid mechanics (76-XX)
117	Numerical analysis (65-XX)
72	Probability theory and stochastic processes (60-XX)
69	Statistical mechanics, structure of matter (82-XX)
53	Operator theory (47-XX)
51	Real functions (26-XX)
49	Mechanics of deformable solids (74-XX)
41	Optics, electromagnetic theory (78-XX)
40	Ordinary differential equations (34-XX)
38	Dynamical systems and ergodic theory (37-XX)
27	Integral equations (45-XX)
18	Calculus of variations and optimal control; optimization (49-XX)
16	Functional analysis (46-XX)
14	Quantum theory (81-XX)
13	Harmonic analysis on Euclidean spaces (42-XX)
12	Astronomy and astrophysics (85-XX)
10	Combinatorics (05-XX)
9	Systems theory; control (93-XX)
8	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7	Linear and multilinear algebra; matrix theory (15-XX)
7	Special functions (33-XX)
7	Global analysis, analysis on manifolds (58-XX)
6	Functions of a complex variable (30-XX)
6	Difference and functional equations (39-XX)
6	Classical thermodynamics, heat transfer (80-XX)
4	Mechanics of particles and systems (70-XX)
3	Potential theory (31-XX)
3	Approximations and expansions (41-XX)
3	Integral transforms, operational calculus (44-XX)
3	Differential geometry (53-XX)
3	Relativity and gravitational theory (83-XX)
2	Measure and integration (28-XX)
2	Convex and discrete geometry (52-XX)
2	Geophysics (86-XX)
1	History and biography (01-XX)
1	Nonassociative rings and algebras (17-XX)
1	Topological groups, Lie groups (22-XX)
1	Computer science (68-XX)
1	Operations research, mathematical programming (90-XX)

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