Well-posedness of mathematical models in continuum mechanics and thermodynamics

DOI10.1023/B:JOTH.0000047358.15602.2BzbMath1320.35155OpenAlexW4255042436MaRDI QIDQ556787

E. V. Radkevich

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:joth.0000047358.15602.2b

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Thermodynamics in solid mechanics (74A15) First-order nonlinear hyperbolic equations (35L60) Nonlinear first-order PDEs (35F20) Thermodynamics of continua (80A17) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of fluid mechanics (76A02)

Related Items (7)

Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations ⋮ On well-posedness of the mixed problem for nonstrictly hyperbolic operators ⋮ Modified Stefan problem, regularization problem, and interior layers ⋮ On hyperbolic pencils for the grad moment systems in nonequilibrium thermodynamics ⋮ Stable pencils of hyperbolic polynomials and the Cauchy problem for hyperbolic equations with a small parameter at the highest derivatives ⋮ On the properties of representation of the Fokker-Planck equation in the Hermite function basis ⋮ Asymptotic stability of solutions of the Cauchy problem for models of nonequilibrium thermodynamics. Stable hyperbolic pencils

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