Global existence in \(L^ 1\) for the modified nonlinear Enskog equation in \({\mathbb{R}}^ 3\)

DOI10.1007/BF01044239zbMath0719.35071MaRDI QIDQ2640058

Jacek Polewczak

Publication date: 1989

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

zbMATH Keywords

Enskog equationglobal existencekinetic theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (15)

SOME NEW PROPERTIES OF THE KINETIC EQUATION FOR THE CONSISTENT BOLTZMANN ALGORITHM ⋮ Uniform stability of the solutions to the relativistic Enskog equation ⋮ Global existence for the relativistic Enskog equations ⋮ Global solutions of Boltzmann's equation and the entropy inequality ⋮ 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 ⋮ On a functional equation in mathematical kinetic theory ⋮ THE BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS ⋮ The relativistic Enskog equation near the vacuum in the Robertson-Walker space-time ⋮ 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

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• 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
• On the Fokker-Planck-Boltzmann equation
• On the Boltzmann equation. II: The full initial value problem
• 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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