On the properties of representation of the Fokker-Planck equation in the Hermite function basis

DOI10.1007/S10958-007-0265-4zbMath1180.82142OpenAlexW2023096185MaRDI QIDQ1040293

E. V. Radkevich

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0265-4

zbMATH Keywords

Fokker-Planck equationCauchy problemasymptotic stabilityBoltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (7)

On intermediate attractors ⋮ Conservation laws and their hyperbolic regularizations ⋮ On the mixed problem for hyperbolic regularizations of conservation laws ⋮ On structures in instability zones ⋮ Structurization of the instability zone and crystallization ⋮ The existence of global solutions to the Cauchy problem for discrete kinetic equations ⋮ The existence of global solutions to the Cauchy problem for discrete kinetic equations. II

Cites Work

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• Well-posedness of mathematical models in continuum mechanics and thermodynamics
• Moment closure hierarchies for kinetic theories.
• Uniform estimates of solutions of the Cauchy problem for hyperbolic equations with a small parameter multiplying higher derivatives
• The central manifold and problems of the Chapman-Enskog projection for the Boltzmann-Peierls equation.
• On the kinetic theory of rarefied gases

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