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Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems

✍ Scribed by Weiwei Han


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
438 KB
Volume
69
Category
Article
ISSN
0362-546X

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✍ Ta-Tsien Li; Libin B. Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 243 KB

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

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## Abstract This work is a continuation of our previous work. In the present paper, we study the existence and uniqueness of global piecewise __C__^1^ solutions with shock waves to the generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws with linear damping in