Found 97 Documents (Results 1–97)
Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary. (English) Zbl 07890707
Reviewer: Rodica Luca (Iaşi)
Enhanced dissipation and blow-up suppression for the three dimensional Keller-Segel equation with the plane Couette-Poiseuille flow. (English) Zbl 1542.35008
Analysis of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model with chemotaxis and angiogenesis. (English) Zbl 1542.35115
Traveling waves for the Keller-Segel-FKPP equation with strong chemotaxis. (English) Zbl 1536.35334
Reviewer: Shangjiang Guo (Changsha)
Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth. (English) Zbl 1532.35278
A repertoire of repulsive Keller-Segel models with logarithmic sensitivity: derivation, traveling waves, and quasi-stationary dynamics. (English) Zbl 1529.35125
An application of BMO-type space to chemotaxis-fluid equations. (English) Zbl 1532.76037
Reviewer: Changxing Miao (Beijing)
Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis. (English) Zbl 07705745
A simple proof of non-explosion for measure solutions of the Keller-Segel equation. (English) Zbl 1518.35215
Particle approximation of the doubly parabolic Keller-Segel equation in the plane. (English) Zbl 1534.60145
An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis. (English) Zbl 1511.35351
Global solutions of aggregation equations and other flows with random diffusion. (English) Zbl 1509.35242
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg-Landau equation. (English) Zbl 1529.35132
Positivity-preserving high-order compact difference method for the Keller-Segel chemotaxis model. (English) Zbl 1508.92033
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. (English) Zbl 1507.35038
Reviewer: Michał Kowalczyk (Santiago)
Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations. (English) Zbl 1483.35107
On global existence and blowup of solutions of stochastic Keller-Segel type equation. (English) Zbl 1479.35146
A hyperbolic-elliptic-parabolic PDE model describing chemotactic E. coli colonies. (English) Zbl 1479.35139
Modeling, analysis and computational methods in population level chemotaxis. (Chinese. English summary) Zbl 1488.92012
A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: the two-dimensional case. (English) Zbl 1479.60147
Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: applications to Keller-Segel and Poisson-Nernst-Planck equations. (English) Zbl 1512.65229
Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Couette flow. (English) Zbl 1469.35065
Reviewer: Anna Zhigun (Belfast)
Blow-up prevention by saturated chemotactic sensitivity in a 2D Keller-Segel-Stokes system. (English) Zbl 1470.35185
Reviewer: Chunhua Jin (Guangzhou)
The Keller-Segel system on the two-dimensional-hyperbolic space. (English) Zbl 1451.35034
Reviewer: Piotr Biler (Wrocław)
A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: the one-dimensional case. (English) Zbl 1470.92043
Reviewer: Piotr Biler (Wrocław)
Singular radial solutions for the Keller-Segel equation in high dimension. (English. French summary) Zbl 1442.35156
Reviewer: Alain Brillard (Riedisheim)
Propagation in a Fisher-KPP equation with non-local advection. (English) Zbl 1430.35129
Reviewer: Andrey Zahariev (Plovdiv)
Interactions of solitary pulses of E. coli in a one-dimensional nutrient gradient. (English) Zbl 1451.92209
Analytic solutions to the one dimensional time fractional Keller-Segel model. (English) Zbl 1449.35381
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. (English) Zbl 1427.35136
Reviewer: Alain Brillard (Riedisheim)
A Keller-Segel-fluid system with singular sensitivity: generalized solutions. (English) Zbl 1418.35222
Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. (English) Zbl 1418.35189
Existence and large time behavior to coupled chemotaxis-fluid equations in Besov-Morrey spaces. (English) Zbl 1412.35351
A blob method for diffusion. (English) Zbl 1442.35324
A general existence result for stationary solutions to the Keller-Segel system. (English) Zbl 1409.35083
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Convergence of solutions to simplified self-organizing target-detection model. (English) Zbl 1405.35096
Erratum to: “Suppression of blow-up in Patlak-Keller-Segel via shear flows”. (English) Zbl 1406.35151
Global existence and asymptotic behavior of solutions to the hyperbolic Keller-Segel equation with a logistic source. (English) Zbl 1405.35223
Chemotaxis, reaction, network. Mathematics for self-organization. (English) Zbl 1406.35003
Hackensack, NJ: World Scientific (ISBN 978-981-3237-73-5/hbk; 978-981-3237-75-9/ebook). xii, 316 p. (2018).
Reviewer: Alain Brillard (Riedisheim)
Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces. (English) Zbl 1397.35186
Suppression of blow-up in parabolic-parabolic Patlak-Keller-Segel via strictly monotone shear flows. (English) Zbl 1395.35114
Boundedness of solutions to a parabolic-elliptic Keller-Segel equation in \(\mathbb{R}^{2}\) with critical mass. (English) Zbl 1434.35023
On a parabolic-elliptic system with gradient dependent chemotactic coefficient. (English) Zbl 1391.35186
Reviewer: Philippe Laurençot (Toulouse)
Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity. (English) Zbl 1390.35381
Null controllability of a nonlinear Keller-Segel equation. (Chinese. English summary) Zbl 1399.93020
Bubbling blow-up in critical parabolic problems. (English) Zbl 1492.35149
Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2186, 73-116 (2017).
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime. (English) Zbl 1384.35134
Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer (ISBN 978-3-319-61493-9/pbk; 978-3-319-61494-6/ebook). Lecture Notes in Mathematics 2186. CIME Foundation Subseries, 1-71 (2017).
Spatial analyticity of solutions to Keller-Segel equation of parabolic-elliptic type. (English) Zbl 1383.35170
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes. (English) Zbl 1447.65106
Suppression of blow-up in Patlak-Keller-Segel via shear flows. (English) Zbl 1378.35044
SIAM J. Math. Anal. 49, No. 6, 4722-4766 (2017); erratum ibid. 50, No. 6, 6365-6372 (2018).
Error estimate of a random particle blob method for the Keller-Segel equation. (English) Zbl 1368.65207
From gas dynamics with large friction to gradient flows describing diffusion theories. (English) Zbl 1367.35090
Layered solutions with unbounded mass for the Keller-Segel equation. (English) Zbl 1375.35096
Reviewer: Alain Brillard (Riedisheim)
Global existence for reaction-diffusion systems with nonlinear diffusion and control of mass. (English) Zbl 1401.35166
Reviewer: Vincenzo Vespri (Firenze)
A random particle blob method for the Keller-Segel equation and convergence analysis. (English) Zbl 1355.60092
On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. (English) Zbl 1348.35289
The 1D parabolic-parabolic Patlak-Keller-Segel model of chemotaxis: the particular integrable case and soliton solution. (English) Zbl 1347.92014
Chemotactic systems in the presence of conflicts: A new functional inequality. (English) Zbl 1351.35240
An augmented Keller-Segel model for E. coli chemotaxis in fast-varying environments. (English) Zbl 1339.35334
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. (English) Zbl 1403.65084
Existence of traveling wave solutions for a classical chemotaxis model. (Chinese. English summary) Zbl 1349.35189
Bacterial chemotaxis without gradient-sensing. (English) Zbl 1339.92012
Reviewer: Piotr Biler (Wrocław)
On the stability of critical chemotactic aggregation. (English) Zbl 1320.35100
Reviewer: Philippe Laurençot (Toulouse)
Monotone combined edge finite volume-finite element scheme for anisotropic Keller-Segel model. (English) Zbl 1301.65097
Reviewer: Petr Sváček (Praha)
Dissipation versus quadratic nonlinearity: from a priori energy bound to higher order regularizing effect. (English) Zbl 1293.35061
Exact criterion for global existence and blow up to a degenerate Keller-Segel system. (English) Zbl 1288.35111
Reviewer: Philippe Laurençot (Toulouse)
Stability in geometric and functional inequalities. (English) Zbl 1364.49059
Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 585-599 (2013).
Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation. (English) Zbl 1307.26027
Reviewer: Emil Popa (Sibiu)
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. (English) Zbl 1264.35057
Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. (English) Zbl 1270.35131
Reviewer: Philippe Laurençot (Toulouse)
Brezis-Merle inequalities and application to the global existence of the Cauchy problem of the Keller-Segel system. (English) Zbl 1254.35111
Finite volume methods for degenerate chemotaxis model. (English) Zbl 1228.65179
Reviewer: Michael Jung (Dresden)
Asymptotic expansion of solutions to the drift-diffusion equation with large initial data. (English) Zbl 1201.35050
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
A mixed finite element method for nonlinear diffusion equations. (English) Zbl 1194.35026
Reviewer: Michael Jung (Dresden)
Partial regularity and its application to the blow-up asymptotics of parabolic systems modelling chemotaxis with porous medium diffusion. (English) Zbl 1194.35475
Bourguignon, Jean-Pierre (ed.) et al., Noncommutativity and singularities. Proceedings of French-Japanese symposia held at IHÉS, Bures-sur-Yvette, France, November 20-23 and November 15–18, 2006. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-54-9/hbk). Advanced Studies in Pure Mathematics 55, 137-160 (2009).
Reviewer: Eva Sanchez (Madrid)
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. (English) Zbl 1400.65042
Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. (English) Zbl 1119.65094
Applied partial differential equations: a visual approach. (English) Zbl 1109.35001
Berlin: Springer (ISBN 3-540-34645-7/hbk). ix, 206 p. (2007).
Reviewer: Ömer Kavaklioglu (Izmir)
Hyperbolic systems and transport equations in mathematical biology. (English) Zbl 1087.92002
Warnecke, Gerald (ed.), Analysis and numerics for conservation laws. Berlin: Springer (ISBN 3-540-24834-X/hbk). 257-279 (2005).
Optimal feedback controls for Keller-Segel equations. (English) Zbl 1015.49002
Reviewer: Yves Cherruault (Paris)
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