Uniform stability of the Boltzmann equation with an external force near vacuum

DOI10.3934/cpaa.2015.14.811zbMath1421.35239OpenAlexW2331204804MaRDI QIDQ2339857

Wenjun Wang, Zhi-Gang Wu

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.811

zbMATH Keywords

vacuumstabilityBoltzmann equationstatistical mechanicsexternal force

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamical aspects of statistical mechanics (37A60) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum
• Global solutions to the Cauchy problem for the relativistic Boltzmann equation with near-vacuum data
• Uniform stability estimates for solutions and their gradients to the Boltzmann equation: a unified approach
• \(L ^{1}\) and BV-type stability of the inelastic Boltzmann equation near vacuum
• Uniform stability of solutions of Boltzmann equation for soft potential with external force
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
• Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian
• The Boltzmann equation and its applications
• The Boltzmann equation. I. Uniqueness and local existence
• Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain
• \(L^1\) stability of the Boltzmann equation for the hard-sphere model
• Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
• Nonlinear functionals of the Boltzmann equation and uniform stability estimates
• \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces
• Stability estimates of the Boltzmann equation with quantum effects
• Global existence to Boltzmann equation with external force in infinite vacuum
• On the initial value problem for the Boltzmann equation with a force term
• Existence in the large and asymptotic behaviour for the Boltzmann equation
• Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
• Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
• L¹STABILITY FOR THE VLASOV–POISSON–BOLTZMANN SYSTEM AROUND VACUUM
• The Vlasov-Poisson-Boltzmann system near vacuum
• On diffusive equilibria in generalized kinetic theory.

This page was built for publication: Uniform stability of the Boltzmann equation with an external force near vacuum