| THE GLOBAL EXISTENCE OF BV SOLUTIONS OF THE ISENTROPIC p-SYSTEM WITH LARGE INITIAL DATA |
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| 作者姓名： | 吴菲 王泽军 陈芳启 |
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| 作者单位： | 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics;2. Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT |
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| 基金项目： | partially supported by the NSFC (11671193)；;Fangqi Chen was partially supported by the NSFC (12172166, 11872201)； |
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| 摘 要： | In this paper,we study the global existence of BV solutions of the initial value problem for the isentropic p-system,where the state equation of the gas is given by P=Av-γ.For γ> 1,the general existence result for large initial data has not been obtained.By using the Glimm scheme,Nishida,Smoller and Diperna successively obtained the global existence results for(γ-1)TV(v0(x),u0(x)) being small.In the present paper,by adopting a rescaling technique,we improve th...
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