中国科技论文在线

上传时间

2011年05月11日

【期刊论文】Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations

李亚纯， Yongcai Geng; Yachun Li

Z. Angew. Math. Phys. 61(2010), 201-220，-0001，（）：

-1年11月30日

We are concerned in this paper with the non-relativistic global limits of the entropy solutions to the Cauchy problem of 3×3 system of relativistic Euler equations modeling the conservation of baryon numbers, momentum, and energy respectively. Based on the detailed geometric properties of nonlinear wave curves in the phase space and the Glimm’s method, we obtain, for the isothermal flow, the convergence of the entropy solutions to the solutions of the corresponding classical non-relativistic Euler equations as the speed of light c → +∞.

Relativistic Euler equations， Lorentz invariance， Newtonian limits， Riemann problem， Cauchy problem， Shocks， Rarefaction waves， Glimm’s scheme， Approximate solutions.，

28浏览
0点赞
0收藏
0分享
45下载
0

引用

上传时间

2011年05月11日

【期刊论文】Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations

李亚纯， Yongcai Geng and Yachun Li

Z. Angew. Math. Phys. 62(2011), 281-304，-0001，（）：

-1年11月30日

摘要

We consider the Riemann problem of three-dimensional relativistic Euler equations with two iscontinuous initial states separated by a planar hypersurface. Based on the detailed analysis on the Riemann solutions, special relativistic effects are revealed, which are the variations of limiting relative normal velocities and intermediate states and thus the smooth transition of wave patterns when the tangential velocities in the initial states are suitably varied. While in the corresponding non-relativistic fluid, these special relativistic effects will not occur.

Relativistic Euler equations， Riemann solutions， Relativistic effects， Relativity invariants， Lorentz factor.，