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A note on a symmetry result for traveling waves in cylinders

Author(s): C. E. Kenig; F. Merle
Journal: Proc. Amer. Math. Soc. 134 (2006), 697-701.
MSC (2000): Primary 35B40, 35B99, 35L65
Posted: October 17, 2005
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Abstract | References | Similar articles | Additional information

Abstract: We prove in this note that all bounded traveling waves, in cylinders, of some -dimensional viscous conservation laws are symmetric.

References:

1.: 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

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

DOI: 10.1090/S0002-9939-05-08412-1
PII: S 0002-9939(05)08412-1
Received by editor(s): April 24, 2004
Posted: 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 of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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