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《微分方程年刊(英文版)》 2012-01
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THE VANISHING PRESSURE LIMIT OF SOLUTIONS TO THE SIMPLIFIED EULER EQUATIONS FOR ISENTROPIC FLUIDS

Qingling Zhang (School of Math.and Computer Sciences,Jianghan University,Wuhan 430056)  
In this paper,the Riemann problem of the 1-D reduced model for the 2-D Euler equations is considered and the Riemann solutions are obtained.It is proved that,as the pressure vanishes,they converge to two kinds of Riemann solutions to the 1D reduced model for the 2-D transport equations:one contains δ-shocks,the other contains vacuum.
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHENG Hong-jun~(1,2) TONG Yan-chun~1 YANG Han-chun~1 1. Department of Mathematics, University, Kunming 650091, Yunnan, China; 2. DianChi College, Yunnan University, Kunming 650228, China;Two-dimensional Riemann problem for zero-pressure gas dynamics-three J cases[J];Pure and Applied Mathematics;2008-03
2 CHENG Shaozhong(Department of Mathematics,Ningbo University,Ningbo 315211,China) LI Jiequan(Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing 100080,China)and ZHANG Tong(Institute of Mathematics,Chinese Academy of Sciences,Beijing 100080,China);Explicit construction of measure solutions of Cauchy problem for transportation equations[J];中国科学A辑(英文版);1997-12
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5 School of Mathematical Sciences,Capital Normal University,Beijing 100048,China Department of Mathematics,Shanghai University,Shanghai 200444,China Institute of Mathematics,AMSS,Chinese Academy of Sciences,Beijing 100190,China Department of Mathematics,The Pennsylvania State University,UP,PA 16802,USA;TWO-DIMENSIONAL RIEMANN PROBLEMS:FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS[J];数学物理学报(英文版);2009-04
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7 DING Xiaqi(Institute of Applied Mathematics, Academia Sinica,Beijing 100080, China)LI Caizhong(Department of Applied Mathematics, Sichuan Union University,Chengdu 610065, China)HUANG Feimin(Institute of Applied Mathematics, Academia Sinica,Beijing 100080,;NON-CLASSICAL GENERALIZED SOLUTIONS FOR SOME HYPERBOLIC SYSTEMS[J];系统科学与数学(英文版);1999-S1
8 Hai-liang Liu Iowa State University,USA;On Discreteness of the Hopf Equation[J];应用数学学报(英文版);2008-03
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10 SUN Wen-hua1,2,SHENG Wan-cheng1(1.Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China;2.School of Mathematics and Information Sciences,Shandong University of Technology,Zibo,Shandong 255049,P.R.China);Two Dimensional Non-Selfsimilar Initial Value Problem for Adhesion Particle Dynamics[J];Applied Mathematics and Mechanics;2007-09
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