Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids
type: Item
instance of: scholarly article
title: Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids
zbMATH Open document ID: 0971.35062
author: V. V. Shelukhin
published in: Journal of Differential Equations
publication date: 2001-11-01T00:00:00Z
review text: The author considers the problem of the joint motion of two layers of compressible viscous fluids between two horizontal plates with the upper one moving irrotationally at a constant distance from the lower one, which is fixed. He proves that the solution of this problem converges, as the shear viscosity of the lower fluid tends to zero, to the weak solution of a certain limit problem. The main tool is the switch between Lagrangian and Eulerian coordinates.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 76N17
zbMATH DE Number: 1529994
zbMATH Keywords: immiscible fluids
zbMATH Keywords: Lagrangian coordinates
zbMATH Keywords: shear viscosity
reviewed by: Dan Polisevski
MaRDI profile type: Publication
full work available at URL: jdeq.2000.3773
OpenAlex ID: W2024949511
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DOI: 10.1006/JDEQ.2000.3773
description: scientific article; zbMATH DE number 1529994