On Nishida's problem
type: Item
instance of: scholarly article
title: On Nishida's problem
zbMATH Open document ID: 0970.35111
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-10-10T00:00:00Z
review text: The paper is devoted to analysis of an initial-boundary value problem for the system of quasilinear equations describing one-dimensional adiabatic efflux of a viscous gas into vacuum. The density decays on the free boundary, and the efflux is counteracted by a body force. Theorems on the uniform (with respect to time) estimates for the solution and on its relaxation as \(t\to +\infty\) are proved. An estimate of the relaxation rate is also given.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1472949
zbMATH Keywords: efflux of a viscous gas into vacuum
zbMATH Keywords: free boundary
zbMATH Keywords: estimates for the solution
zbMATH Keywords: relaxation rate
author: Alexander Zlotnik
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472949