A note on the relativistic Euler equations

被引：13
|
作者：
Frauendiener, J
机构：
[1] Univ Tubingen, Inst Theoret Astrophys, D-72076 Tubingen, Germany
[2] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland
来源：
CLASSICAL AND QUANTUM GRAVITY | 2003年 / 20卷 / 14期
关键词：
D O I：
10.1088/0264-9381/20/14/102
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present an alternative way to write the Euler equations for an ideal isentropic fluid as a symmetric hyperbolic system of evolution equations for a timelike vector field. An equation of state has to be provided which relates the length of this vector to the sound velocity. The relation to the conventional formulation is established and some of the consequences are discussed.
引用
收藏
页码：L193 / L196
页数：4
相关论文
共 50 条
  • [1] A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy
    Dong, Jianwei
    Zhu, Junhui
    LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (11) : 2479 - 2485
  • [2] A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy
    Jianwei Dong
    Junhui Zhu
    Letters in Mathematical Physics, 2018, 108 : 2479 - 2485
  • [3] A Note on Reparametrizations of the Euler Equations
    F. J. Molero
    F. Crespo
    S. Ferrer
    Qualitative Theory of Dynamical Systems, 2017, 16 : 453 - 466
  • [4] A Note on Reparametrizations of the Euler Equations
    Molero, F. J.
    Crespo, F.
    Ferrer, S.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2017, 16 (02) : 453 - 466
  • [5] A new variation for the relativistic Euler equations
    Mahmoud A. E. Abdelrahman
    Hanan A. Alkhidhr
    Advances in Difference Equations, 2020
  • [6] A new variation for the relativistic Euler equations
    Abdelrahman, Mahmoud A. E.
    Alkhidhr, Hanan A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [7] The ultra-relativistic Euler equations
    Abdelrahman, Mahmoud A. E.
    Kunik, Matthias
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (07) : 1247 - 1264
  • [8] Formation of singularities for the relativistic Euler equations
    Athanasiou, Nikolaos
    Zhu, Shengguo
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 284 : 284 - 317
  • [9] DEVELOPMENT OF SINGULARITIES IN THE RELATIVISTIC EULER EQUATIONS
    Athanasiou, Nikolaos
    Bayles-rea, Tianrui
    Zhu, Shengguo
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (04) : 2325 - 2372
  • [10] Rough solutions of the relativistic Euler equations
    Yu, Sifan
    JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2024, 21 (02) : 423 - 500
12345