\(L^ 2\)-stability near equilibrium of the solution of the homogeneous Boltzmann equation in the case of Maxwellian molecules
type: Item
instance of: scholarly article
title: \(L^ 2\)-stability near equilibrium of the solution of the homogeneous Boltzmann equation in the case of Maxwellian molecules
zbMATH Open document ID: 0667.76119
DOI: 10.1007/BF01561005
author: Carlo Cercignani
author: Maria Lampis
author: Carlo Sgarra
published in: Meccanica
publication date: 1988-01-01T00:00:00Z
review text: The problem of \(L^ 2\)-stability for the homogeneous Boltzmann equation in the case of Maxwellian molecules is studied for initial data close to equilibrium.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 4093072
zbMATH Keywords: \(L^ 2\)-stability
zbMATH Keywords: Maxwellian molecules
zbMATH Keywords: initial data close to equilibrium
MaRDI profile type: Publication
cites work: On the Boltzmann equation. I: Existence
cites work: GENERAL EXISTENCE AND UNIQUENESS PROOF FOR SPATIALLY HOMOGENEOUS SOLUTIONS OF THE MAXWELL-BOLTZMANN EQUATION IN THE CASE OF MAXWELLIAN MOLECULES
cites work: Rigorous iterated solutions to a nonlinear integral evolution problem in particle transport theory
cites work: Nonlinear diffusion of test particles in the presence of an external conservative force
cites work: On the stability of the solutions to an integral evolution equation of the nonlinear particle transport theory
cites work: The Boltzmann equation for weakly inhomogeneous data
cites work: Q4188958
cites work: Global solution to a nonlinear integral evolution problem in particle transport theory
cites work: Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
full work available at URL: https://doi.org/10.1007/bf01561005
OpenAlex ID: W2019844250
description: scientific article; zbMATH DE number 4093072