Stability of the equilibrium to the Boltzmann equation with large potential force

DOI10.1007/S11401-018-0097-1zbMath1402.76115OpenAlexW2899877196MaRDI QIDQ1624196

Xiuhui Yang

Publication date: 15 November 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0097-1

zbMATH Keywords

stabilityBoltzmann equationlarge potential force\(L^{2}-L^{\infty}\) methodentropy-energy inequality

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Decay and continuity of the Boltzmann equation in bounded domains
• Stability of the Boltzmann equation with potential forces on torus
• Phase transition in a Vlasov-Boltzmann binary mixture
• Global classical solutions to the Boltzmann equation with external force
• The non-cutoff Boltzmann equation with potential force in the whole space
• Convergence rate to stationary solutions for Boltzmann equation with external force
• Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
• Boltzmann Equation with a Large Potential in a Periodic Box
• GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES
• Global Existence of Classical Solutions to the Boltzmann Equation with External Force for Hard Potentials
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• Bounded solutions for the Boltzmann equation

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