Abstract
Overcompressive shock waves for nonstrictly hyperbolic conservation laws are stable in a sense different from that of the corresponding viscous traveling waves. We describe the difference and the reason for it.
Research supported in part by NSF grant DMS-847–03971, Army grant DAAL03–87-K-0063, and AFOSR-89–0203.
Research supported in part by NSF grant DMS-88–06731.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lax, P.D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 10 (1957), pp. 537–566.
Liu, T.-P., Admissible solutions of hyperbolic conservation laws, Memoirs, Amer. Math. Soc, No. 240 (1981).
Liu, T.-P. and Xin, Z., Stability of viscous shock waves associated with a non strictly hyperbolic conservation law, (to appear).
Liu, T.-P., Nonlinear stability of shock waves for viscous conservation laws, Memoirs, Amer. Math. Soc, No 328 (1985).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag New York Inc.
About this paper
Cite this paper
Liu, TP., Xin, Z. (1990). Overcompressive Shock Waves. In: Keyfitz, B.L., Shearer, M. (eds) Nonlinear Evolution Equations That Change Type. The IMA Volumes in Mathematics and Its Applications, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9049-7_11
Download citation
DOI: https://doi.org/10.1007/978-1-4613-9049-7_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-9051-0
Online ISBN: 978-1-4613-9049-7
eBook Packages: Springer Book Archive