Blow-up mechanism of classical solutions to quasilinear hyperbolic systems
β Scribed by Libin Wang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 299 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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## Abstract This paper is concerned with the asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems with linearly degenerate characteristic fields. Based on the existence results of global classical solutions, we prove that when __t__ tends to infinity,
## Abstract In this paper, we first consider the Cauchy problem for quasilinear strictly hyperbolic systems with weak linear degeneracy. The existence of global classical solutions for small and decay initial data was established in (__Commun. Partial Differential Equations__ 1994; **19**:1263β1317