Found 129 Documents (Results 1–100)
Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials. (English) Zbl 07910866
With Andrzej Lasota there and back again. The XVII annual lecture dedicated to the memory of Professor Andrzej Lasota. (English) Zbl 07904701
Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials. (English) Zbl 07900808
Convergence rate to equilibrium for conservative scattering models on the torus: a new Tauberian approach. (English) Zbl 07876033
A priori estimates for solutions to Landau equation under Prodi-Serrin like criteria. (English) Zbl 07855929
Extending Cercignani’s conjecture results from Boltzmann to Boltzmann-Fermi-Dirac equation. (English) Zbl 07845544
The Landau equation with moderate soft potentials: an approach using \(\varepsilon \)-Poincaré inequality and Lorentz spaces. (English) Zbl 1540.35278
Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with \(L^p\) initial datum. (English) Zbl 1536.35110
The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases. (English) Zbl 1532.35331
A Lifshitz-Slyozov type model for adipocyte size dynamics: limit from Becker-Döring system and numerical simulation. (English) Zbl 1531.92028
Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held September 3–8, 2023. (English) Zbl 1537.00022
On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles. (English) Zbl 07745915
Entropy dissipation and propagation of chaos for the uniform reshuffling model. (English) Zbl 1524.35655
Exponential mixing of Vlasov equations under the effect of gravity and boundary. (English) Zbl 1516.35413
On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate. (English) Zbl 1512.35429
Uniform estimates for the Fisher information of the Landau equation for soft potentials. (English) Zbl 07674135
Knudsen type group for time in \(\mathbb{R}\) and related Boltzmann type equations. (English) Zbl 1512.35431
Measure valued solution to the spatially homogeneous Boltzmann equation with inelastic long-range interactions. (English) Zbl 1507.82061
Direction-dependent turning leads to anisotropic diffusion and persistence. (English) Zbl 1503.35239
Interacting particle systems with long-range interactions: approximation by tagged particles in random fields. (English) Zbl 1498.82014
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 2, 439-506 (2022).
Convergence rate to equilibrium for collisionless transport equations with diffuse boundary operators: a new tauberian approach. (English) Zbl 1523.82006
Łoskot-Rudnicki’s inequality and general relative entropy inequality for Cauchy problems preserving positivity. (English) Zbl 1495.35008
Existence results for nonlinear mono-energetic singular transport equations: \(L^p\)-spaces. (English) Zbl 1491.35385
Convergence toward the steady state of a collisionless gas with Cercignani-Lampis boundary condition. (English) Zbl 1491.35380
On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero. (English) Zbl 1487.35088
From Boltzmann equation for granular gases to a modified Navier-Stokes-Fourier system. (English) Zbl 1489.76045
Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces. (English) Zbl 1489.82067
Optimal exponential decay for the linear inhomogeneous Boltzmann equation with hard potentials. (Chinese. English summary) Zbl 1503.47124
A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights. (English) Zbl 1477.35112
MSC:
35Q20
Interacting particle systems with long-range interactions: scaling limits and kinetic equations. (English) Zbl 1479.82049
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 2, 335-377 (2021).
Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials. (English) Zbl 1484.82040
Existence of invariant densities and time asymptotics of conservative linear kinetic equations on the torus without spectral gaps. (English) Zbl 1473.82032
Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons. (English) Zbl 1489.47075
A Markov process for an infinite interacting particle system in the continuum. (English) Zbl 1479.60154
On the measure valued solution to the inelastic Boltzmann equation with soft potentials. (English) Zbl 1473.35391
Stability and uniqueness of self-similar profiles in \(L^1\) spaces for perturbations of the constant kernel in Smoluchowski’s coagulation equation. (English) Zbl 1472.35084
Reviewer: Philippe Laurençot (Toulouse)
Solutions with peaks for a coagulation-fragmentation equation. II: Aggregation in peaks. (English) Zbl 1470.76107
The scaling hypothesis for Smoluchowski’s coagulation equation with bounded perturbations of the constant kernel. (English) Zbl 1456.35065
Reviewer: Philippe Laurençot (Toulouse)
On the asymptotic spectrum of a transport operator with elastic and inelastic collision operators. (English) Zbl 1493.47051
Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies. (English) Zbl 1463.47227
Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces. (English) Zbl 1453.82072
Existence results for a class of nonlinear singular transport equations in bounded spatial domains. (English) Zbl 1445.35121
Spectral theory and time asymptotics of size-structured two-phase population models. (English) Zbl 1448.35345
Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators. (English) Zbl 1439.82037
Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate. (English) Zbl 1452.35029
Reviewer: Philippe Laurençot (Toulouse)
Modelling physical limits of migration by a kinetic model with non-local sensing. (English) Zbl 1434.92014
Convergence to self-similarity for ballistic annihilation dynamics. (English. French summary) Zbl 1442.82029
Spectral analysis of monoenergetic transport equation with delayed neutrons in slab geometry. (English) Zbl 1444.47057
Reviewer: Dazmir Shulaia (Tbilisi)
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. (English) Zbl 1432.92020
On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures. (English) Zbl 1434.35036
Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. (English) Zbl 1447.82024
Reviewer: Piotr Garbaczewski (Opole)
Fractional Fokker-Planck equation with general confinement force. (English) Zbl 1435.35386
Reviewer: Eugene Postnikov (Kursk)
Macroscopic limit of the Becker-Döring equation via gradient flows. (English) Zbl 1440.49013
Reviewer: Claudia Simionescu-Badea (Wien)
An \(L^p\)-approach to the well-posedness of transport equations associated with a regular field. I. (English) Zbl 1427.47016
An \(L^p\)-approach to the well-posedness of transport equations associated to a regular field. II. (English) Zbl 1427.47015
A non-local problem for the Fokker-Planck equation related to the Becker-Döring model. (English) Zbl 1412.35334
Existence results for nonlinear mono-energetic singular transport equations: \(L_1\)-spaces. (English) Zbl 1409.35052
Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials. (English) Zbl 1428.82056
Interplay of analysis and probability in applied mathematics. Abstracts from the workshop held February 11–17, 2018. (English) Zbl 1409.00071
A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures. (English) Zbl 1406.35217
Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry. (English) Zbl 1401.82030
Reviewer: Piotr Garbaczewski (Opole)
Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas. (English) Zbl 1397.82045
On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials. (English) Zbl 1394.35041
One-dimensional dissipative Boltzmann equation: measure solutions, cooling rate, and self-similar profile. (English) Zbl 1383.82024
On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff. (English) Zbl 1386.35319
Reviewer: Thomas Ernst (Uppsala)
An existence and uniqueness principle for a nonlinear version of the Lebowitz-Rubinow model with infinite maximum cycle length. (English) Zbl 1394.47075
On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035
Reviewer: Guy Jumarie (Montréal)
The derivation of the linear Boltzmann equation from a Rayleigh gas particle model. (English) Zbl 1376.82084
Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: a semigroup approach in \(L^1\)-spaces. (English) Zbl 1387.35442
Global classical solution to the inelastic Boltzmann equation with potential force. (English) Zbl 1375.35304
Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies. (English) Zbl 1358.47035
Existence results for a nonlinear transport equation with unbounded admissible velocities space. (English) Zbl 1355.35046
Existence and BV-regularity for neutron transport equation in nonconvex domain. (English) Zbl 1362.35203
Reviewer: Boris A. Malomed (Tel Aviv)
Non-local kinetic and macroscopic models for self-organised animal aggregations. (English) Zbl 1330.35465
Spectral theory for neutron transport. (English) Zbl 1323.35177
Banasiak, Jacek (ed.) et al., Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Cham: Springer (ISBN 978-3-319-11321-0/pbk; 978-3-319-11322-7/ebook). Lecture Notes in Mathematics 2126, 319-386 (2015).
Kinetic models in natural sciences. (English) Zbl 1335.47045
Banasiak, Jacek (ed.) et al., Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Cham: Springer (ISBN 978-3-319-11321-0/pbk; 978-3-319-11322-7/ebook). Lecture Notes in Mathematics 2126, 133-198 (2015).
Reviewer: Claudia Simionescu-Badea (Wien)
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