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Online ISSN 1552-4485; Print ISSN 0033-569X
Hyperbolic conservation laws with large initial data. Is the Cauchy problem well-posed?
Author:
Charis Tsikkou
Journal:
Quart. Appl. Math. 68 (2010), 765-781
MSC (2000):
Primary 35L65
DOI:
https://doi.org/10.1090/S0033-569X-2010-01208-9
Published electronically:
September 17, 2010
MathSciNet review:
2761243
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We present an example in which the Glimm estimate for a strictly hyperbolic system of two conservation laws is violated.
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Additional Information
Charis Tsikkou
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912
Email:
Charis.Tsikkou@mis.mpg.de
Keywords:
Nonlinear PDE,
hyperbolic systems of conservation laws,
Glimm-Lax estimates
Received by editor(s):
July 18, 2009
Published electronically:
September 17, 2010
Additional Notes:
The author is indebted to her advisor, Professor Constantine M. Dafermos, for his constant help, advice, motivation and patience during her graduate student life at Brown University.
Article copyright:
© Copyright 2010
Brown University