Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
type: Item
instance of: scholarly article
title: Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
zbMATH Open document ID: 0849.35109
DOI: 10.1007/BF02102408
author: Akitaka Matsumura
author: Shigenori Yanagi
published in: Communications in Mathematical Physics
publication date: 1996-11-07T00:00:00Z
review text: The one-dimensional equations of isentropic compressible viscous gas flows are considered. Pressure is given as a function of specific volume by \(p(v)= \text{const } v^{- \gamma}\), \(\gamma> 1\). It is shown that there is a constant \(C(\gamma)\) such that there exists a unique global solution provided some norms of initial data and force are dominated by \(C(\gamma)\). The function \(C(\gamma)\) can be chosen growing as \(\gamma- 1\) tends to zero. If the external force stabilizes as the time grows the solution also stabilizes.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 878037
zbMATH Keywords: compressible viscous gas
zbMATH Keywords: global unique solvability
zbMATH Keywords: stabilization
reviewed by: V. V. Shelukhin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878037