Propagation of weak discontinuities in a vibrationally-excited gas flow
type: Item
instance of: scholarly article
title: Propagation of weak discontinuities in a vibrationally-excited gas flow
zbMATH Open document ID: 0587.76117
DOI: 10.1007/BF00650128
author: Madhukar Gaur
author: Arisdudan Rai
published in: Astrophysics and Space Science
publication date: 1985-01-01T00:00:00Z
review text: Propagation of weak discontinuities headed by wavefronts of arbitrary shape in three dimensions are studied in vibrationally relaxing gas flow. The transport equations representing the rate of change of discontinuities in the normal derivatives of the flow variables are obtained, and it is found that the nonlinearity in the governing equations does not contribute anything to the vibrationally relaxing gas. An explicit criterion for the growth and decay of weak discontinuities along bi-characteristic curves in the characteristic manifold of the governing differential equations is given. A special case of interest is also discussed.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 3943393
zbMATH Keywords: theory of singular surfaces
zbMATH Keywords: growth equation
zbMATH Keywords: non-equilibrium gas flow
zbMATH Keywords: Propagation of weak discontinuities
zbMATH Keywords: wavefronts of arbitrary shape
zbMATH Keywords: vibrationally relaxing gas flow
zbMATH Keywords: explicit criterion
zbMATH Keywords: bi-characteristic curves
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3943393