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Existence of strong travelling wave profiles to  systems of viscous conservation laws
Author(s):
Tong
Yang;
Mei
Zhang;
Changjiang
Zhu
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1843-1849.
MSC (2000):
Primary 35L65;
Secondary 74J30, 35L45
Posted:
January 5, 2007
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Abstract:
In this paper, we prove the existence of strong travelling wave profiles for a class of  viscous conservation laws when the corresponding invisid systems are hyperbolic. Besides some technical assumptions, the only main assumption is the hyperbolicity. Therefore, the existence theory can be applied to systems which are not strictly hyperbolic. Moreover, the characteristic fields can be neither genuinely nonlinear nor linearly degenerate.
References:
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Additional Information:
Tong
Yang
Affiliation:
Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Email:
matyang@cityu.edu.hk
Mei
Zhang
Affiliation:
Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Email:
meizhang3@student.cityu.edu.hk
Changjiang
Zhu
Affiliation:
Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People's Republic of China
Email:
cjzhu@mail.ccnu.edu.cn
DOI:
10.1090/S0002-9939-07-08747-3
PII:
S 0002-9939(07)08747-3
Keywords:
Viscous conservation laws,
travelling wave profile,
{\it a priori} estimate.
Received by editor(s):
September 14, 2005
Received by editor(s) in revised form:
February 13, 2006
Posted:
January 5, 2007
Communicated by:
Walter Craig
Copyright of article:
Copyright
2007,
American Mathematical Society
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