On the limit of the nonlinear Enskog equation corresponding with fluid dynamics

DOI10.1007/BF00251460zbMath0668.76093OpenAlexW1651393014MaRDI QIDQ1118493

Mirosław Lachowicz

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251460

zbMATH Keywords

Boltzmann equationEnskog equationinitial-value problemsmooth solutionmean free pathEuler equations for compressible fluids

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (4)

From kinetic to Navier-Stokes-type equations ⋮ On the asymptotic behaviour of solutions of nonlinear kinetic equations ⋮ New properties of a class of generalized kinetic equations ⋮ A stochastic system of particles modelling the Euler equations

Cites Work

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• Compressible fluid flow and systems of conservation laws in several space variables
• Existence of global solutions for the space inhomogeneous Enskog equation
• On the initial layer and the existence theorem for the nonlinear Boltzmann equation
• On the Enskog equation in two space variables
• The fluid dynamic limit of the nonlinear boltzmann equation
• The fluid-dynamical limit of a nonlinear model boltzmann equation

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