On the viscosity and thermal conduction of fluids with multivalued internal energy

DOI10.1016/S0997-7546(00)01095-5zbMath1011.76008MaRDI QIDQ5935761

Pierre Degond, Mohammed Lemou

Publication date: 9 June 2003

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsBoltzmann equationChapman-Enskog expansionstress tensorhydrodynamic limitviscositycollision operatorscollision timecompressible Euler modelfluid turbulenceheat flux vectorkinetic modelmultivalued internal energyparticle energy

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of liquids (82D15) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Turbulence in fluids. Stochastic and numerical modelling.
• On the macroscopic dynamics induced by a model wave-particle collision operator
• Existence of solutions of a kinetic equation modeling cometary flows
• The mathematical theory of dilute gases
• The fluid dynamic limit of the nonlinear boltzmann equation
• On asymptotics of the Boltzmann equation when the collisions become grazing
• THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE