Existence of global solutions for the space inhomogeneous Enskog equation
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Publication:3767044
DOI10.1080/00411458708204660zbMath0629.76083OpenAlexW2007002463MaRDI QIDQ3767044
Publication date: 1987
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411458708204660
a priori boundsEnskog equationnonstandard analysisglobal solutionsnonlinear Boltzmann equationglobal existence theorems
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
Related Items (16)
Uniform stability of the solutions to the relativistic Enskog equation ⋮ Global existence in \(L^ 1\) for the modified nonlinear Enskog equation in \({\mathbb{R}}^ 3\) ⋮ Global existence for the relativistic Enskog equations ⋮ On the limit of the nonlinear Enskog equation corresponding with fluid dynamics ⋮ The Enskog process ⋮ On the Enskog equation in two space variables ⋮ 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 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 BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS ⋮ 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 ⋮ 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
- The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
- The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
- Global solutions to the initial value problem for the nonlinear Boltzmann equation
- Global solutions of the Boltzmann equation in a bounded convex domain
- On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
- The Boltzmann equation in the kinetic theory of gases
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