Remarks on the solvability of transonic flow problems
type: Item
instance of: scholarly article
title: Remarks on the solvability of transonic flow problems
zbMATH Open document ID: 0661.76054
DOI: 10.1007/BF01258597
author: Miloslav Feistauer
author: Jindřich Nečas
published in: Manuscripta Mathematica
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155323
review text: The paper is devoted to the study of the viscosity method and upwinding in the transonic flow problems. We weaken the conditions from the authors' earlier work [Commentat. Math. Univ. Carol. 27, 791-804 (1986) and Commun. Partial Differ. Equations 13, No.7, 775-812 (1988)] under which we can obtain a nonviscous compressible transonic flow as a limit of viscous solutions, if the viscosity and heat conductivity tend to zero. Further, we give the justification of the density upwinding applied often in the calculation of transonic potential flows.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4081156
zbMATH Keywords: viscosity method
zbMATH Keywords: transonic flow problems
zbMATH Keywords: nonviscous compressible transonic flow
zbMATH Keywords: limit of viscous solutions
MaRDI profile type: Publication
cites work: On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems
cites work: Q3676510
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cites work: Q3321366
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cites work: The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
OpenAlex ID: W2009905927
description: scientific article; zbMATH DE number 4081156