Global classical solutions of mixed initial-boundary value problem for quasilinear hyperbolic systems
β Scribed by Yi Zhou; Yong-Fu Yang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 443 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small
## 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,