Global entropy solutions to the relativistic Euler equations for a class of large initial data

Li YC; Feng DM; Wang ZJ

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Global entropy solutions to the relativistic Euler equations for a class of large initial data

机译：一类大初始数据的相对论欧拉方程的整体熵解

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We are concerned with global entropy solutions to the relativistic Euler equations for a class of large initial data which involve the interaction of shock waves and rarefaction waves. We first carefully analyze the global behavior of the shock curves, the rarefaction wave curves, and their corresponding inverse curves in the phase plane. Based on these analyses, we use the Glimm scheme to construct global entropy solutions to the relativistic Euler equations for the class of large discontinuous initial data.

机译：对于一类涉及冲击波和稀疏波相互作用的大型初始数据，我们关注相对论的Euler方程的整体熵解。我们首先仔细分析了冲击曲线，稀疏波曲线及其在相平面中的对应逆曲线的整体行为。基于这些分析，对于大的不连续初始数据，我们使用Glimm方案构造相对论的Euler方程的全局熵解。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2005年第2期|共15页
作者
Li YC; Feng DM; Wang ZJ;
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正文语种 eng
中图分类应用数学;
关键词
Relativistic Euler equations; special relativity; discontinuous entropy solution; Lorentz transform; Glimm difference scheme; interactions of shocks and rarefaction waves; CONSERVATION-LAWS;

机译：相对论性Euler方程;相对论;间断熵解;Lorentz变换;Gilmm差分格式;激波与稀疏波的相互作用;守恒律;

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专利

1. Global entropy solutions to the relativistic Euler equations for a class of large initial data [J] . Li YC, Feng DM, Wang ZJ ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2005,第2期

机译：一类大初始数据的相对论欧拉方程的整体熵解
2. GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS [J] . LI YACHUN, WANG LIBO Chinese Annals of Mathematics. Series B . 2005,第4期

机译：相对论EUler方程具有不连续初始数据且包含真空状态的溶液的整体稳定性
3. GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS [J] . LI YACHUN, WANG LIBO 数学年刊B辑（英文版） . 2005,第004期

机译：相对论EUler方程具有不连续初始数据且包含真空状态的溶液的整体稳定性
4. SPACECRAFT ANGULAR RATE ESTIMATION FROM MAGNETOMETER DATA ONLY USING AN ANALYTIC SOLUTION OF EULER'S EQUATIONS [C] . Paolo Tortora, Yaakov Oshman, Fabio Santoni Israel annual conference on aerospace sciences . 2003

机译：仅使用Euler方程的分析解决方案的磁力计数据的航天器角速率估计
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Global classical solutions of the Boltzmann equation with long-range interactions [O] . Philip T. Gressman, Robert M. Strain 2010

机译：具有长程相互作用的玻尔兹曼方程的全局经典解
7. Global Entropy Solutions in Linfinity to the Euler Equations and Euler-Poisson Equations for Isothermal Fluids with Spherical Symmetry [O] . Gui-Qiang Chen, Tian-Hong Li 2003

机译：在 l Infinity 中的全局熵解决方案到欧拉方程和欧拉 - 泊松方程，用于具有球形对称的等温液
8. Global Existence of Solutions of the Equations of One-Dimensional Thermoviscoelasticity with Initial Data in BV and L(1). [R] . Kim, J. U. 1982

机译：BV和L（1）初始数据下一维热弹性方程解的整体存在性。

Global entropy solutions to the relativistic Euler equations for a class of large initial data

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