Stability of the Boltzmann equation with potential forces on torus

DOI10.1016/j.physd.2009.06.007zbMath1173.35638OpenAlexW2025894680MaRDI QIDQ842995

Renjun Duan

Publication date: 28 September 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.06.007

zbMATH Keywords

stabilityconvergence ratesBoltzmann equationsymmetric perturbation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (11)

Stability of the equilibrium to the Boltzmann equation with large potential force ⋮ The Boltzmann equation with potential force in the whole space ⋮ Boltzmann Equation with a Large Potential in a Periodic Box ⋮ Global stability of Boltzmann equation with large external potential for a class of large oscillation data ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ Exponential decay of the Landau equation with potential forces ⋮ Hypocoercivity for the linear Boltzmann equation with confining forces ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ A kinetic flocking model with diffusion ⋮ Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\) ⋮ Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space

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