Solutions to the Boltzmann equation in the Boussinesq regime

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DOI10.1023/A:1023223226585zbMath0932.76079arXivcond-mat/9709318OpenAlexW1509949197MaRDI QIDQ1284843

Joel L. Lebowitz, Raffaele Esposito, Rossana Marra

Publication date: 8 March 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9709318

zbMATH Keywords

Rayleigh-Bénard convection global Maxwellian hydrodynamic scaling gas in horizontal slab Maxwellian boundary conditions smooth solution of Oberbeck-Boussinesq equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Free convection (76R10) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Stationary solutions to the Boltzmann equation in the hydrodynamic limit, Kinetic wave turbulence, Stationary non equilibrium states in kinetic theory, On the derivation of hydrodynamics from the Boltzmann equation, Stability for Rayleigh-Benard convective solutions of the Boltzmann equation, On the Boltzmann equation with stochastic kinetic transport: global existence of renormalized martingale solutions

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