Estimates for the large time behavior of the Landau equation in the Coulomb case

DOI10.1007/s00205-017-1078-3zbMath1390.35360arXiv1510.08704OpenAlexW1866861905MaRDI QIDQ524286

Laurent Desvillettes, Kleber Carrapatoso, Ling-Bing He

Publication date: 2 May 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08704

zbMATH Keywords

entropyplasmaLandau equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) A priori estimates in context of PDEs (35B45) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Statistical mechanics of plasmas (82D10) PDEs in connection with statistical mechanics (35Q82)

Related Items (16)

Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations ⋮ On \(A_p\) weights and the Landau equation ⋮ About the Landau-Fermi-Dirac equation with moderately soft potentials ⋮ Partial Regularity in Time for the Space-Homogeneous Landau equation with Coulomb Potential ⋮ Landau equation for very soft and Coulomb potentials near maxwellians ⋮ Convergence rate to equilibrium for collisionless transport equations with diffuse boundary operators: a new tauberian approach ⋮ Spectral gap and exponential convergence to equilibrium for a multi-species Landau system ⋮ Entropy dissipation estimates for the relativistic Landau equation, and applications ⋮ Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with \(L^p\) initial datum ⋮ A particle method for the homogeneous Landau equation ⋮ Uniform estimates for the Fisher information of the Landau equation for soft potentials ⋮ Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials ⋮ About the use of entropy production for the Landau-Fermi-Dirac equation ⋮ Long-time behaviour for the Landau equation ⋮ Uniqueness of bounded solutions for the homogeneous relativistic Landau equation with Coulomb interactions ⋮ Entropy Dissipation Estimates for the Landau Equation: General Cross Sections

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