THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES

DOI10.1142/S0219891607001318zbMath1165.35413WikidataQ62568242 ScholiaQ62568242MaRDI QIDQ5386911

Hédia Chaker, Naoufel Ben Abdallah, Christian Schmeiser

Publication date: 14 May 2008

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergence towards the entropic solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with optics and electromagnetic theory (35Q60) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

Homogenized diffusion limit of a Vlasov-Poisson-Fokker-Planck model ⋮ Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations ⋮ Diffusive corrections to asymptotics of a strong-field quantum transport equation ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting

Cites Work

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