Abstract
In this paper, we prove the existence of strong travelling wave profiles for a class of 2 × 2 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. © 2007 American Mathematical Society.
| Original language | English |
|---|---|
| Pages (from-to) | 1843-1849 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 135 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2007 |
Research Keywords
- A priori estimate
- Travelling wave profile
- Viscous conservation laws
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