Global existence in \(L^ 1\) for the generalized Enskog equation.

DOI10.1007/BF01015578zbMath1083.82531MaRDI QIDQ1963694

Jacek Polewczak

Publication date: 2 February 2000

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

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Uniform stability of the solutions to the relativistic Enskog equation ⋮ Global existence for the relativistic Enskog equations ⋮ 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 ⋮ The generalized Boltzmann equation solution and exponential trend to equilibrium ⋮ THE BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS ⋮ New properties of a class of generalized kinetic equations ⋮ 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

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results
• Regularity of the moments of the solution of a transport equation
• Existence theorems for certain kinetic equations and large data
• Small data existence for the Enskog equation in \(L^ 1\).
• Global existence in \(L^ 1\) for the modified nonlinear Enskog equation in \({\mathbb{R}}^ 3\)
• Existence of global solutions for the space inhomogeneous Enskog equation
• On the Enskog equation in two space variables
• Global Existence and Asymptotic Behavior for the Nonlinear Enskog Equation
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