Asymptotic stability of solutions of the Cauchy problem for models of nonequilibrium thermodynamics. Stable hyperbolic pencils

DOI10.1007/S10958-005-0395-5zbMath1107.82051OpenAlexW1994559857MaRDI QIDQ812318

E. V. Radkevich

Publication date: 23 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10958-005-0395-5

zbMATH Keywords

stabilityFokker-Planck equationCauchy problemBoltzmann equationquasilinear equationskinetic theoryhyperbolic polynomialsGrad methodpolynomial pencils

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) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

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• Well-posedness of mathematical models in continuum mechanics and thermodynamics
• On hyperbolic pencils for the grad moment systems in nonequilibrium 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
• Domain of definition of Levermore's five-moment system
• On the kinetic theory of rarefied gases

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