The same class of stationary solutions to some multidimensional kinetic systems with extensive background density
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Publication:1645103
DOI10.1016/j.jmaa.2018.03.051zbMath1394.35510OpenAlexW2796694938WikidataQ129985170 ScholiaQ129985170MaRDI QIDQ1645103
Publication date: 28 June 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.051
PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Second-order elliptic systems (35J47) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)
Cites Work
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- Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
- The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
- The Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials
- Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
- Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
- Cauchy problem for the Vlasov-Poisson-Boltzmann system
- Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
- The Vlasov-Maxwell-Boltzmann system with a uniform ionic background near Maxwellians
- Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system
- The Vlasov-Maxwell-Boltzmann system in the whole space
- Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
- Vlasov-Maxwell-Boltzmann diffusive limit
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Nonexistence results of entire solutions for superlinear elliptic inequalities
- Generic global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions
- Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states)
- On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
- Hypoelliptic regularity in kinetic equations.
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Relative entropies for kinetic equations in bounded domains (irreversibility, stationary solutions, uniqueness)
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions
- Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system
- Regular solutions of the Vlasov-Poisson-Fokker-Planck system.
- Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system
- Steady states of the Vlasov-Poisson-Fokker-Planck system
- Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials
- Dissipation of one-species VMB system with non-uniform ionic background
- Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System
- Stability of the One-Species Vlasov–Poisson–Boltzmann System
- Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space
- Dissipative Property of the Vlasov–Maxwell–Boltzmann System with a Uniform Ionic Background
- Hypocoercivity of linear degenerately dissipative kinetic equations
- Steady states in plasma physics—the Vlasov-Fokker-Planck equation
- Stationary solutions of the vlasov-fokker-planck equation
- Sur les états d'équilibre pour les densités électroniques dans les plasmas
- Long-time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation
- Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System
- On long time asymptotics of the vlasov—poisson—boltzmann equation
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- On the initial value problem for the Vlasov‐Poisson‐Fokker‐Planck system with initial data in Lp spaces
- L 2-stability of the Vlasov-Maxwell-Boltzmann system near global Maxwellians
- Spectrum Structure and Behaviors of the Vlasov--Maxwell--Boltzmann Systems
- On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
- The Vlasov-Poisson-Boltzmann system near vacuum
- Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system