Optimal convergence rates of Landau equation with external forcing in the whole space

DOI10.1016/S0252-9602(09)60085-0zbMath1212.35490MaRDI QIDQ979468

Hongjun Yu, Tong Yang

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

energy methodoptimal convergence ratesLandau equationcompensating function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Optimal time decay of the Boltzmann system for gas mixtures ⋮ Spectrum analysis of some kinetic equations ⋮ Global existence and long time behavior of the ellipsoidal-statistical-Fokker-Planck model for diatomic gases ⋮ Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential ⋮ Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system ⋮ Optimal time decay of the quantum Landau equation in the whole space ⋮ Global solutions to the relativistic Landau-Maxwell system in the whole space ⋮ Exponential decay of the Landau equation with potential forces ⋮ Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules ⋮ Global existence and long time behavior of the ellipsoidal-Fokker–Planck equation ⋮ Regularizing effects for the classical solutions to the Landau equation in the whole space ⋮ The Boltzmann equation with frictional force for soft potentials in the whole space

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