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

Authors
Kudashev, VR Suleimanov, BI
Citation
Vr. Kudashev et Bi. Suleimanov, The effect of small dissipation on the onset of one-dimensional shock waves, J APPL MA R, 65(3), 2001, pp. 441-451
Citations number
24
Categorie Soggetti
Mechanical Engineering
Journal title
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
ISSN journal
00218928 → ACNP
Volume
65
Issue
3
Year of publication
2001
Pages
441 - 451
Database
ISI
SICI code
0021-8928(2001)65:3<441:TEOSDO>2.0.ZU;2-Y
Abstract
It is demonstrated that the onset of shockwaves of "general position" accom panying 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 Voig t and Khokhlov-Zabolotskii-Kuznetsov models. (C) 2001 Elsevier Science Ltd. All rights reserved.