On the asymptotic behaviour of solutions of nonlinear kinetic equations

DOI10.1007/BF01764119zbMath0784.35086OpenAlexW2009043109MaRDI QIDQ1191376

Mirosław Lachowicz

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01764119

zbMATH Keywords

compressible Euler equationsestimation of the remainderperturbed Boltzmann equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Perturbations in context of PDEs (35B20)

Related Items (2)

Euler and Navier–Stokes limits of the Uehling–Uhlenbeck quantum kinetic equations ⋮ A system of stochastic differential equations modeling the Euler and the Navier-Stokes hydrodynamic equations

Cites Work

• The Euler limit and initial layer of the nonlinear Boltzmann equation
• Compressible fluid flow and systems of conservation laws in several space variables
• On the limit of the nonlinear Enskog equation corresponding with fluid dynamics
• A stochastic system of particles modelling the Euler equations
• Exact and chapman‐enskog solutions for the carleman model
• Spectral properties of the space nonhomogeneous linearized Boltzmann operator
• 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
• The Boltzmann equation in the kinetic theory of gases
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