Some Results on the Stability of Non-classical Shock Waves

Some Results on the Stability of Non-classical Shock Waves

Year:    1998

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 1 : pp. 25–38

Abstract

Part 1 of this paper establishes the infinite-time stability of a class of over-compressive viscous shock waves; the equations studied here are a mathematical analogue of those of magnetohydrodynamics. Part 2 communicates a rather general short-time stability result for undercompressive shock waves in several space dimensions; technically, this is an easy extension of Majda's corresponding result for Laxian shock waves.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JPDE-5552

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 1 : pp. 25–38

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Conservation laws