Global Entropy Solutions of the Cauchy Problem for Nonhomogeneous Relativistic Euler System 被引量：3

Global Entropy Solutions of the Cauchy Problem for Nonhomogeneous Relativistic Euler System

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摘要 We analyze the 2 × 2 nonhomogeneous relativistic Euler equations for perfect fluids in special relativity. We impose appropriate conditions on the lower order source terms and establish the existence of global entropy solutions of the Cauchy problem under these conditions.

作者 Yachun LI Anjiao WANG

机构地区 Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第5期473-494,共22页 数学年刊（B辑英文版）

基金 Project supported by the National Natural Science Foundation of China (No.10571120) the Natural Science Foundation of Shanghai (No.04ZR14090).

关键词 Relativistic Euler system Entropy solutions Riemann solutions Glimm scheme 相对欧拉系统熵解黎曼解 Glimm图

分类号 O174.66 [理学—基础数学]

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参考文献1

1LI YACHUN WANG LIBO.GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS[J].Chinese Annals of Mathematics,Series B,2005,26(4):491-510. 被引量：4

二级参考文献30

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共引文献3

1Gan YIN,Wancheng SHENG.Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations[J].Chinese Annals of Mathematics,Series B,2008,29(6):611-622. 被引量：6
2Yongcai GENG,Yachun LI.Local Smooth Solutions to the 3-Dimensional Isentropic Relativistic Euler equations[J].Chinese Annals of Mathematics,Series B,2014,35(2):301-318. 被引量：3
3Fei WU,Zejun WANG.EXISTENCE OF PERIODIC SOLUTIONS TO AN ISOTHERMAL RELATIVISTIC EULER SYSTEM[J].Acta Mathematica Scientia,2022,42(1):155-171.

同被引文献3

1LI YACHUN WANG LIBO.GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS[J].Chinese Annals of Mathematics,Series B,2005,26(4):491-510. 被引量：4
2Gan YIN,Wancheng SHENG.Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations[J].Chinese Annals of Mathematics,Series B,2008,29(6):611-622. 被引量：6
3耿永才.具有球对称结构的相对论欧拉方程组稳态解的存在性[J].数学物理学报（A辑）,2014,34(4):841-850. 被引量：1

引证文献3

1Gan YIN,Wancheng SHENG.Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations[J].Chinese Annals of Mathematics,Series B,2008,29(6):611-622. 被引量：6
2Yongcai GENG,Yachun LI.Local Smooth Solutions to the 3-Dimensional Isentropic Relativistic Euler equations[J].Chinese Annals of Mathematics,Series B,2014,35(2):301-318. 被引量：3
3Fei WU,Zejun WANG.EXISTENCE OF PERIODIC SOLUTIONS TO AN ISOTHERMAL RELATIVISTIC EULER SYSTEM[J].Acta Mathematica Scientia,2022,42(1):155-171.

二级引证文献8

1尹淦.AW-Rascle模型的Riemann解的压力消失极限[J].新疆大学学报（自然科学版）,2013,30(3):289-296. 被引量：2
2Yongcai GENG,Yachun LI.Local Smooth Solutions to the 3-Dimensional Isentropic Relativistic Euler equations[J].Chinese Annals of Mathematics,Series B,2014,35(2):301-318. 被引量：3
3Yong-cai GENG,Lei WANG.Global Smooth Solutions to Relativistic Euler-Poisson Equations with Repulsive Force[J].Acta Mathematicae Applicatae Sinica,2014,30(4):1025-1036. 被引量：1
4盛万成,王国娟.Chaplygin气体Euler方程组Riemann问题解的结构稳定性（英文）[J].应用数学与计算数学学报,2017,31(3):290-302.
5董建伟,娄光谱,杨永.有限初始能量的相对论欧拉方程组光滑解的爆破[J].高校应用数学学报（A辑）,2021,36(1):53-60.
6邵志强.一维具有阻尼和摩擦项的可压缩流体欧拉方程组当压力消失时黎曼解的极限[J].数学物理学报（A辑）,2022,42(4):1150-1172. 被引量：2
7Xingli Li,Jianli Liu,Manwai Yuen.Non-Global Existence of Regular Solution to Initial Value Problem of Relativistic Euler Equations in R^(N)[J].Annals of Applied Mathematics,2024,40(3):249-261.
8何伟华,郭俐辉.预期因子为反Chaplygin气体宏观生产模型黎曼解的渐近极限[J].新疆大学学报(自然科学版中英文),2026,43(2):183-195.

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2曹文涛,黄飞敏,李天虹,于慧敏.GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM[J].Acta Mathematica Scientia,2016,36(4):1215-1224. 被引量：1
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Chinese Annals of Mathematics,Series B

2006年第5期

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