A new energy method for the Boltzmann equation

DOI10.1063/1.2195528zbMath1111.82048OpenAlexW2075891062MaRDI QIDQ3441824

Huijiang Zhao, Tong Yang

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2195528

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (21)

Stability of global Maxwellian for fully nonlinear Fokker-Planck equations ⋮ The Boltzmann equation with potential force in the whole space ⋮ Stability of the Boltzmann equation with potential forces on torus ⋮ Decay and stability of solutions to the Fokker–Planck–Boltzmann equation in ⋮ Large time behavior of the solutions to the Boltzmann equation with specular reflective boundary condition ⋮ Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system with given magnetic field ⋮ Optimal time decay of the Boltzmann equation with frictional force ⋮ The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball. III: The 3-D Boltzmann equation ⋮ Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System ⋮ Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation ⋮ Diffusive expansion for solutions of the Boltzmann equation in the whole space ⋮ Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system ⋮ Compressible Navier-Stokes approximation to the Boltzmann equation ⋮ On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in \(L_{\xi}^{2}(H_{x}^{N})\) ⋮ On the trend to equilibrium for the Vlasov-Poisson-Boltzmann equation ⋮ \(L ^{2}\)-stability theory of the Boltzmann equation near a global Maxwellian ⋮ Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system ⋮ Uniform stability of solutions of Boltzmann equation for soft potential with external force ⋮ Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system ⋮ A combination of energy method and spectral analysis for study of equations of gas motion ⋮ L p stability of solutions of Boltzmann equation with external force in soft potentials

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