Global existence to Boltzmann equation with external force in infinite vacuum

DOI10.1063/1.1899985zbMath1110.82034OpenAlexW1976975664MaRDI QIDQ3438420

Renjun Duan, Changjiang Zhu, Tong Yang

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.1899985

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items

On the quantum Boltzmann equation near Maxwellian and vacuum ⋮ On the BGK equation with some force fields in \(L^p\) space ⋮ Global stability of Boltzmann equation with large external potential for a class of large oscillation data ⋮ The Cauchy problem for the BGK equation with an external force ⋮ Global classical solution to the inelastic Boltzmann equation with potential force ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ On the Cauchy problem for the inelastic Boltzmann equation with external force ⋮ Distributional solutions of the Boltzmann equation with infinite energy ⋮ THE BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS ⋮ \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces ⋮ The Vlasov-Maxwell-Boltzmann system in the whole space ⋮ Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system ⋮ Global existence of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system ⋮ Uniform stability of solutions of Boltzmann equation for soft potential with external force ⋮ Uniform \(L^1\) stability of the inelastic Boltzmann equation with large external force for hard potentials ⋮ L p stability of solutions of Boltzmann equation with external force in soft potentials ⋮ Uniform stability of the Boltzmann equation with an external force near vacuum ⋮ The inelastic Enskog equation with external force

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