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Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms |
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| Authors: | Liu Fagui Yang Zejiang |
| Abstract: | ln this paper, for a class of 2 × 2 quasilinear hyperbolic systems, we get existence theorems of the global smooth solutions of its Cauchy problem, under a certain hypotheses. In addition, Tor two concrete quasilinear hyperbolic systems, we study the formation of the singularities of the C¹-solution to its Cauchy problem. |
| Keywords: | Quasilinear hyperbolic systems Cauchy problem global smooth solution singularity |
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