On the breakdown of a continuous multi-dimensional gasdynamic flow

L. Lustman; N. Geffen

doi:10.1007/BF01590705

On the breakdown of a continuous multi-dimensional gasdynamic flow

L. Lustman^*, N. Geffen

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Starting with the theory of weak discontinuities, an expression for the point at which the solution itself becomes discontinuous is derived. The formula is readily applicable to multidimensional hyperbolic systems, with arbitrary initial data. Detailed application to gasdynamics is given, with explicit results for an atmosphere with exponentially decaying density.

Original language	English
Pages (from-to)	23-32
Number of pages	10
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	28
Issue number	1
DOIs	https://doi.org/10.1007/BF01590705
State	Published - Jan 1977

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On the breakdown of a continuous multi-dimensional gasdynamic flow

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