Existence in the Large for Pressure-Gradient System

作     者：Shuxin ZHANG Zejun WANG Shuxin ZHANG;Zejun WANG

作者机构：Department of MathematicsNanjing University of Aeronautics and AstronauticsKey Laboratory of Mathematical and High Performance Computing of Air Vehicles(NUAA)MIITNanjing 210016China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2022年第43卷第4期

页      面：509-522页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.11671193) 

主　　题：Pressure-gradient system Riemann problem Diperna’s conditions Glimm scheme BV space 

摘      要：In this paper,the authors use Glimm scheme to study the global existence of BV solutions to Cauchy problem of the pressure-gradient system with large initial *** this end,some important properties of the shock curves of the pressure-gradient system in the Riemann invariant coordinate system and verify that the shock curves satisfy Diperna’s conditions(see[Diperna,R.J.,Existence in the large for quasilinear hyperbolic conservation laws,***.,52(3),1973,244–257])are *** they construct the approximate solution sequence through Glimm *** establishing accurate local interaction estimates,they prove the boundedness of the approximate solution sequence and its total variation.