Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation
type: Item
instance of: scholarly article
title: Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation
zbMATH Open document ID: 1217.35132
author: Seung-Yeal Ha
author: Se Eun Noh
published in: Journal of Differential Equations
publication date: 2011-06-06T00:00:00Z
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 5904484
zbMATH Keywords: Enskog-Boltzmann equation
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: \(L^p\)-stability
MaRDI profile type: Publication
full work available at URL: j.jde.2011.03.021
OpenAlex ID: W2071456325
cites work: On the Enskog Equation with Large Initial Data
cites work: Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
cites work: Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation
cites work: On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
cites work: On the asymptotic equivalence between the Enskog and the Boltzmann equations.
cites work: Q3997513
cites work: Strong solutions of the Boltzmann equation in one spatial dimension
cites work: Global weak solutions of the Boltzmann equation
cites work: Errata: Weak solutions of the Boltzmann equation and energy conservation
cites work: A remarkable estimate for the solutions of the Boltzmann equation
cites work: Small data existence for the Enskog equation in \(L^ 1\).
cites work: Existence of global solutions for the space inhomogeneous Enskog equation
cites work: Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: On the modified Enskog equation for elastic and inelastic collisions. Models with spin
cites work: Lyapunov functionals for the Enskog-Boltzmann equation
cites work: Nonlinear functionals of the Boltzmann equation and uniform stability estimates
cites work: \(L^1\) stability of the Boltzmann equation for the hard-sphere model
cites work: Newa prioriestimate for the Boltzmann–Enskog equation
cites work: Uniform \(L^p\)-stability theory for the space-inhomogeneous Boltzmann equation with external forces
cites work: The Boltzmann equation. I. Uniqueness and local existence
cites work: Q3343680
cites work: Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior
cites work: Global existence in \(L^ 1\) for the generalized Enskog equation.
cites work: Global Existence and Asymptotic Behavior for the Nonlinear Enskog Equation
cites work: Global existence in \(L^ 1\) for the modified nonlinear Enskog equation in \({\mathbb{R}}^ 3\)
cites work: The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results
DOI: 10.1016/J.JDE.2011.03.021
description: scientific article; zbMATH DE number 5904484