| Global Weakly Discontinuous Solutions for Inhomogeneous Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity |
| Received:February 08, 2011 Revised:September 01, 2011 |
| Key Words:
inhomogeneous quasilinear hyperbolic system characteristic with constant multiplicity Cauchy problem global weakly discontinuous solution weak linear degeneracy matching condition.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11071141;11271192), China Postdoctoral Science Foundation (Grant No.20100481161), the Postdoctoral Foundation of Jiangsu Province (Grant No.1001042C), Qing Lan Project of Jiangsu Province and the Natural Science Foundation of the Jiangsu Higher Education Committee of China (Grant No.11KJA110001) and the Natural Science Foundation of Jiangsu Provience (Grant No.BK2011777). |
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| Abstract: |
| This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.06.010 |
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