Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Weak stability in the global $ L\sp 1$-norm for systems of hyperbolic conservation laws

Author: Blake Temple
Journal: Trans. Amer. Math. Soc. 317 (1990), 673-685
MSC: Primary 35L65; Secondary 35B35
MathSciNet review: 948199
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that solutions for systems of two conservation laws which are generated by Glimm's method are weakly stable in the global $ {L^1}$-norm. The method relies on a previous decay result of the author, together with a new estimate for the $ {L^1}$ Lipschitz constant that relates solutions at different times. The estimate shows that this constant can be bounded by the supnorm of the solution, and is proved for any number of equations. The techniques do not rely on the existence of a family of entropies, and moreover the results would generalize immediately to more than two equations if one were to establish the stability of solutions in the supnorm for more than two equations.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35L65, 35B35

Retrieve articles in all journals with MSC: 35L65, 35B35

Additional Information

PII: S 0002-9947(1990)0948199-0
Article copyright: © Copyright 1990 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia