Compressible flow with damping and vacuum
type: Item
instance of: scholarly article
title: Compressible flow with damping and vacuum
zbMATH Open document ID: 0865.35107
DOI: 10.1007/BF03167296
author: Tai-Ping Liu
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1997-07-10T00:00:00Z
review text: The compressible Euler equations with damping and the singular behavior of the flow near the vacuum are discussed. The large-time behavior of solutions to the compressible Euler equations with damping and (related to it time asymptotically) to the so-called porous media equations is studied. A class of particular solutions for the compressible Euler equations which tend time-asymptotically to the Barenblatt solutions is constructed. The porous media equation is derived from the Euler equation through Darcy's law.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 927307
zbMATH Keywords: compressible Euler equations with damping
zbMATH Keywords: flow near the vacuum
zbMATH Keywords: porous media equation
MaRDI profile type: Publication
cites work: How an Initially Stationary Interface Begins to Move in Porous Medium Flow
cites work: Q5825083
cites work: Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
cites work: Q4697951
cites work: Sur la solution à support compact de l’equation d’Euler compressible
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full work available at URL: https://doi.org/10.1007/bf03167296
OpenAlex ID: W1970228368
description: scientific article; zbMATH DE number 927307