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Existence of strong travelling wave profiles to  systems of viscous conservation laws |
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| Authors: | Tong Yang Mei Zhang Changjiang Zhu |
| Affiliation: | Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong ; Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong ; Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, People's Republic of China |
| 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. |
| Keywords: | Viscous conservation laws travelling wave profile {it a priori} estimate. |
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