On the two-dimensional steady-state problem of a viscous gas in an exterior domain
type: Item
instance of: scholarly article
title: On the two-dimensional steady-state problem of a viscous gas in an exterior domain
zbMATH Open document ID: 0894.76070
published in: Pacific Journal of Mathematics
publication date: 1998-08-16T00:00:00Z
review text: The authors consider a viscous steady isothermal flow of a compressible fluid in a two-dimensional exterior domain. The boundary conditions are equal to zero, and the velocity tends to a nonzero constant vector at infinity. This problem corresponds to flow past an obstacle. The authors analyse a linearized problem for deviations of velocity and density from their values at infinity, decompose the velocity field into its compressible and incompressible parts, and finally prove existence and uniqueness theorem under the assumption that the external data are sufficiently small.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1066029
zbMATH Keywords: viscous isothermal flow
zbMATH Keywords: small external data
zbMATH Keywords: decomposition method
zbMATH Keywords: linearized problem
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
author: Giovanni Paolo Galdi
author: Antonín Novotný
author: Mariarosaria Padula
reviewed by: P. B. Dubovski
MaRDI profile type: Publication
full work available at URL: pjm.1997.179.65
OpenAlex ID: W2106405920
DOI: 10.2140/PJM.1997.179.65
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description: scientific article; zbMATH DE number 1066029