Bounded solutions for the Boltzmann equation

DOI10.1090/S0033-569X-09-01180-4zbMath1186.35132OpenAlexW2006099377MaRDI QIDQ5305326

Yan Guo

Publication date: 22 March 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2010-68-01/S0033-569X-09-01180-4/home.html

zbMATH Keywords

Boltzmann equationbounded solutionsMaxwellians

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) Boltzmann equations (35Q20)

Related Items (18)

Global well-posedness in spatially critical Besov space for the Boltzmann equation ⋮ Stability of the equilibrium to the Boltzmann equation with large potential force ⋮ Stability of the equilibrium to the Vlasov-Poisson-Boltzmann system with non-constant background charge ⋮ Boltzmann Equation with a Large Potential in a Periodic Box ⋮ Cutoff Boltzmann equation with polynomial perturbation near Maxwellian ⋮ Regularity of Boltzmann Equation with Cercignani--Lampis Boundary in Convex Domain ⋮ Non-isothermal boundary in the Boltzmann theory and Fourier law ⋮ Large Amplitude Solutions in $L^p_vL^{\infty}_{T}L^{\infty}_{x}$ to the Boltzmann Equation for Soft Potentials ⋮ Global existence for the Boltzmann equation in \( L^r_v L^\infty_t L^\infty_x \) spaces ⋮ Global stability of Boltzmann equation with large external potential for a class of large oscillation data ⋮ Global bounded solutions to the Boltzmann equation for a polyatomic gas ⋮ Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy ⋮ The Boltzmann equation with a class of large-amplitude initial data and specular reflection boundary condition ⋮ Cercignani-Lampis boundary in the Boltzmann theory ⋮ Global well-posedness of the Boltzmann equation with large amplitude initial data ⋮ Global Well-Posedness of the Relativistic Boltzmann Equation ⋮ Global existence of bounded solutions to the relativistic BGK model ⋮ Macroscopic regularity for the Boltzmann equation

Cites Work

• The Vlasov‐Poisson‐Boltzmann system near Maxwellians

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