Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/partition-of-waves-in-a-system-of-conservation-laws-y0HhxufKGS
References (15)
-
A. Bressan (1995)
Lectures Notes on Systems of Conservation Laws -
A. Bressan (1992)
Global solutions of systems of conservation laws by wave-front trackingJournal of Mathematical Analysis and Applications, 170
-
A. Setti, Heibig Arnaud (1998)
Global interaction of fields in a system of conservation lawsCommunications in Partial Differential Equations, 23
-
C. Dafermos (1989)
Generalized characteristics in hyperbolic systems of conservation lawsArchive for Rational Mechanics and Analysis, 107
-
A. Bressan, R. Colombo (1998)
DECAY OF POSITIVE WAVES IN NONLINEAR SYSTEMS OF CONSERVATION LAWSAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 25
-
Tai-Ping Liu (1977)
The deterministic version of the Glimm schemeCommunications in Mathematical Physics, 57
-
A. Heibig (1994)
Existence and uniqueness of solutions for some hyperbolic systems of conservation lawsArchive for Rational Mechanics and Analysis, 126
-
A. Heibig (1994)
Existence and uniqueness for some hyperbolic systems of conservation lawsArch. Rational. Mech. Anal., 126
-
J. Smoller (1983)
Shock Waves and Reaction-Diffusion Equations -
C. Dafermos, X. Geng (1991)
Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation lawsAnnales De L Institut Henri Poincare-analyse Non Lineaire, 8
-
J. Glimm (1965)
Solutions in the large for nonlinear hyperbolic systems of equationsCommunications on Pure and Applied Mathematics, 18
-
J. Glimm, P. Lax (1970)
Decay of solutions of systems of nonlinear hyperbolic conservation lawsMemoirs of the American Mathematical Society
-
A. Heibig, A. Sahel (1996)
Une méthode des caractéristiques pour certains systèmes de lois de conservation, 322
-
O. A. Oleinik (1957)
Discontinuous solutions of nonlinear differential equationsUsp. Mat. Nauk (N.S), 12
-
Tai-Ping Liu (1981)
Admissible solutions of hyperbolic conservation lawsMemoirs of the American Mathematical Society, 30
- Publisher
- Springer Journals
- Copyright
- Copyright © 2001 by Kluwer Academic Publishers
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1023/A:1010719628448
- Publisher site
- See Article on Publisher Site
Abstract
The aim of this paper is to give a simple proof of the classical Liu estimate on the decay of positive waves in a solution of a n×n system of conservation laws. In the first part, we transcribe the wave partition technique introduced in Comm. Math. Phys. 57 (1977), 135–148 (by means of the Glimm scheme) to the case of approximate solutions constructed by the wave front tracking scheme. Then, we use a decoupling argument on the characteristic speeds to establish the desired estimate.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 19, 2004