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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on a symmetry result for traveling waves in cylinders
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by C. E. Kenig and F. Merle PDF
Proc. Amer. Math. Soc. 134 (2006), 697-701 Request permission

Abstract:

We prove in this note that all bounded traveling waves, in cylinders, of some $N$-dimensional viscous conservation laws are symmetric.
References
  • C. Kenig and F. Merle. Asymptotic stability and Liouville theorem for scalar viscous conservation laws in cylinder, to appear in Comm. Pure Appl. Math.
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Additional Information
  • C. E. Kenig
  • Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637-1514 – and – Institute for Advanced Study, Princeton, New Jersey 08540
  • MR Author ID: 100230
  • F. Merle
  • Affiliation: Université de Cergy-Pontoise, Institut Universitaire de France, 33, boulevard du Port, 95011 Cergy-Pontoise Cedex, France – and – Institute for Advanced Study, Princeton, New Jersey 08540
  • MR Author ID: 123710
  • Received by editor(s): April 24, 2004
  • Published electronically: October 17, 2005
  • Additional Notes: The first author was partially supported by the NSF, and at IAS by the von Neumann Fund, the Weyl Fund, the Oswald Veblen Fund and the Bell Companies Fellowship
  • Communicated by: David S. Tartakoff
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 697-701
  • MSC (2000): Primary 35B40, 35B99, 35L65
  • DOI: https://doi.org/10.1090/S0002-9939-05-08412-1
  • MathSciNet review: 2180886