典型文献
Existence in the Large for Pressure-Gradient System
文献摘要：
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 data.To this end,some important properties of the shock curves of the pressure-gradient sys-tem 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,Arch.Ration.Mech.Anal.,52(3),1973,244-257])are studied.Then they construct the approximate solution sequence through Glimm scheme.By establish-ing accurate local interaction estimates,they prove the boundedness of the approximate solution sequence and its total variation.
文献关键词：
中图分类号：
作者姓名：
Shuxin ZHANG;Zejun WANG
作者机构：
Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Key Laboratory of Mathematical and High Performance Computing of Air Vehicles(NUAA),MIIT,Nanjing 210016,China
文献出处：
引用格式：
[1]Shuxin ZHANG;Zejun WANG-.Existence in the Large for Pressure-Gradient System)[J].数学年刊B辑（英文版）,2022(04):509-522
A类：
Glimm,Diperna
B类：
Existence,Large,Pressure,Gradient,System,In,this,paper,authors,use,scheme,study,global,existence,BV,solutions,Cauchy,problem,pressure,gradient,system,large,initial,data,To,end,some,important,properties,shock,curves,Riemann,invariant,coordinate,verify,that,satisfy,conditions,see,quasilinear,hyperbolic,conservation,laws,Arch,Ration,Mech,Anal,are,studied,Then,they,construct,approximate,sequence,through,By,establish,ing,accurate,local,interaction,estimates,prove,boundedness,its,total,variation
AB值：
0.65534
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