The effect of small dissipation on the onset of one-dimensional shock waves

The effect of small dissipation on the onset of one-dimensional shock waves

It is demonstrated that the onset of shock waves of “general position” accompanying the one-dimensional motion of an isentropic gas of low viscosity is described by Il'in's special solution of the Burgers equation. It is shown that it describes the generation of shock wave in the one-dimen...

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Veröffentlicht in:Journal of applied mathematics and mechanics 2001, Vol.65 (3), p.441-451
Hauptverfasser: Kudashev, V.R., Suleimanov, B.I.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is demonstrated that the onset of shock waves of “general position” accompanying the one-dimensional motion of an isentropic gas of low viscosity is described by Il'in's special solution of the Burgers equation. It is shown that it describes the generation of shock wave in the one-dimensional Voigt and Khokhlov-Zabolotskii-Kuznetsov models.
ISSN:0021-8928
0021-8928
DOI:10.1016/S0021-8928(01)00050-8