On the Enskog equation in two space variables

DOI10.1080/00411458608212709zbMath0633.76076OpenAlexW2089224732MaRDI QIDQ3771875

Leif Arkeryd

Publication date: 1986

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458608212709

zbMATH Keywords

existence problemspatially homogeneous Boltzmann equationmonotone techniqueweak Enskog equation in two space-variables

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (16)

Global existence in \(L^ 1\) for the modified nonlinear Enskog equation in \({\mathbb{R}}^ 3\) ⋮ Global existence for the relativistic Enskog equations ⋮ Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian ⋮ On the limit of the nonlinear Enskog equation corresponding with fluid dynamics ⋮ From kinetic to Navier-Stokes-type equations ⋮ The Enskog process ⋮ On the StrongL¹Trend to Equilibrium for the Boltzmann Equation ⋮ Small data existence for the Enskog equation in \(L^ 1\). ⋮ 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 asymptotic behaviour of solutions of nonlinear kinetic equations ⋮ Is the linearized Boltzmann-Enskog operator dissipative? ⋮ THE BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS ⋮ 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

Cites Work

• On the Cauchy problem of the Boltzmann equation with a soft potential
• Intermolecular forces of infinite range and the Boltzmann equation
• The Boltzmann equation. I. Uniqueness and local existence
• Existence of global solutions for the space inhomogeneous Enskog equation

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