Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations |
| |
Authors: | Yongcai Geng Yachun Li |
| |
Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, 200240, Shanghai, People’s Republic of China 2. Department of Mathematics, Shanghai Jiao Tong University, 200240, Shanghai, People’s Republic of China
|
| |
Abstract: | 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 → +∞. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|