EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 84(98), pp. 97–107 (2008)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

A NOTE ON SHOCK PROFILES IN DISSIPATIVE HYPERBOLIC AND PARABOLIC MODELS

Srboljub S. Simic

Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

Abstract: This note presents a comparative study of shock profiles in dissipative systems. Main assumption is that both hyperbolic and parabolic model are reducible to the same underlying equilibrium system when dissipative effects are neglected. It will be shown that the highest characteristic speed of equilibrium system determines the critical value of the shock speed for which downstream equilibrium state bifurcates. It will be also shown that it obeys the same transcritical bifurcation pattern in hyperbolic, as well as in parabolic case.

Keywords: Hyperbolic and parabolic balance laws, dissipative models, shock profile, stability, bifurcation

Classification (MSC2000): 35L65; 70K50

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 9 Dec 2008. This page was last modified: 12 Dec 2008.

© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
© 2008 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition