THE GLOBAL EXISTENCE OF BV SOLUTIONS OF THE ISENTROPIC p-SYSTEM WITH LARGE INITIAL DATA

被引：0
|
作者：
吴菲 [1 ,2 ]
王泽军 [1 ,2 ]
陈芳启 [1 ,2 ]
机构：
[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
来源：
ActaMathematicaScientia | 2023年 / 43卷 / 04期
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中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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 these results and obtain the global existence result under the condition that(γ-1)γ+1(TV(v0(x)))γ-1(TV(u0(x)))2is small,which implies that,for fixed γ> 1,either TV(v0(x)) or TV(u0(x)) can be arbitrarily large.
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页码：1668 / 1674
页数：7
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