Small data existence for the Enskog equation in \(L^ 1\).

DOI10.1007/BF01015332zbMath1086.82540OpenAlexW2059684500MaRDI QIDQ1963642

Carlo Cercignani

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01015332

zbMATH Keywords

existenceBoltzmann equationEnskog equationkinetic theory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (13)

Uniform stability of the solutions to the relativistic Enskog equation ⋮ Global existence for the relativistic Enskog equations ⋮ The Enskog process ⋮ Global existence in \(L^ 1\) for the generalized Enskog equation. ⋮ Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation ⋮ On the modified Enskog equation for elastic and inelastic collisions. Models with spin ⋮ Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation ⋮ \(L^1\) stability estimate for a one-dimensional Boltzmann equation with inelastic collisions. ⋮ The relativistic Enskog equation near the vacuum in the Robertson-Walker space-time ⋮ On the convergence of solutions of the enskog equation to solutions of the boltzmann equation ⋮ Stability of global solution for the relativistic Enskog equation near vacuum ⋮ On the inelastic Enskog equation near vacuum ⋮ The inelastic Enskog equation with external force

Cites Work

• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• The Boltzmann equation for weakly inhomogeneous data
• Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum
• Global solutions to the initial value problem for the nonlinear Boltzmann equation
• Global solutions of the Boltzmann equation in a bounded convex domain
• Existence of global solutions for the space inhomogeneous Enskog equation
• On the Enskog equation in two space variables
• Local validity of the boltzmann equation
• On the Boltzmann equation for rigid spheres
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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