RIGOROUS DERIVATION AND ANALYSIS OF COUPLING OF BOLTZMANN EQUATIONS AND THEIR HYDRODYNAMIC LIMITS FOR SIMPLIFIED MODELS

DOI10.1081/TT-120015509zbMath1021.35087MaRDI QIDQ4794383

No author found.

Publication date: 13 March 2003

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

gasdynamicstransmission boundary conditionsCarleman model

Mathematics Subject Classification ID

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

Cites Work

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• A novel class of multiscale models in mathematical physics.
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• First order quasilinear equations with boundary conditions
• Exact and chapman‐enskog solutions for the carleman model
• The fluid dynamic limit of the nonlinear boltzmann equation
• Asymptotic analysis of a coupled system of kinetic equations
• Numerical analysis of coupling for a kinetic equation
• Rigorous derivation and analysis of coupling of kinetic equations and their hydrodynamic limits for a simplified Boltzmann model.

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