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| Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems |
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Citation： |
Yi ZHOU.Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics B,2011,32(5):771~780 |
| Page view： 1895
Net amount： 1235 |
Authors： |
Yi ZHOU; |
Foundation： |
the National Natural Science Foundation of China (No. 10728101), the Basic
Research Program of China (No. 2007CB814800), the Doctoral Program Foundation of the Ministry of
Education of China, the “111” Project (No. B08018) and SGST (No. 09DZ2272900). |
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| Abstract： |
The author considers the Cauchy problem for quasilinear inhomogeneous hyperbolic
systems. Under the assumption that the system is weakly dissipative, Hanouzet
and Natalini established the global existence of smooth solutions for small initial data (in
Arch. Rational Mech. Anal., Vol. 169, 2003, pp. 89–117). The aim of this paper is to give
a completely different proof of this result with slightly different assumptions. |
Keywords： |
Cauchy problem, Global classical solution, Partially dissipative
quasilinear hyperbolic system |
Classification： |
35L45, 35L60 |
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