|
|
| |
| Local Smooth Solutions to the 3-Dimensional IsentropicRelativistic Euler equations? |
| |
Citation： |
Yongcai GENG,Yachun LI.Local Smooth Solutions to the 3-Dimensional IsentropicRelativistic Euler equations?[J].Chinese Annals of Mathematics B,2014,35(2):301~318 |
| Page view： 1854
Net amount： 1945 |
Authors： |
Yongcai GENG; Yachun LI; |
Foundation： |
National Natural Science Foundation of China (Nos. 11201308, 10971135),the Science Foundation for the Excellent Youth Scholars of Shanghai Municipal Education Commission(No. ZZyyy12025), the Innovation Program of Shanghai Municipal Education Commission (No. 13zz136)and the Science Foundation of Yin Jin Ren Cai of Shanghai Institute of Technology (No.YJ2011-03). |
|
|
| Abstract： |
The authors consider the local smooth solutions to the isentropic relativistic
Euler equations in (3+1)-dimensional space-time for both non-vacuum and vacuum cases.
The local existence is proved by symmetrizing the system and applying the Friedrichs-
Lax-Kato theory of symmetric hyperbolic systems. For the non-vacuum case, according
to Godunov, firstly a strictly convex entropy function is solved out, then a suitable symmetrizer
to symmetrize the system is constructed. For the vacuum case, since the coefficient
matrix blows-up near the vacuum, the authors use another symmetrization which is based
on the generalized Riemann invariants and the normalized velocity. |
Keywords： |
Isentropic relativistic Euler equations, local-in-time smooth solutions,Strictly convex entropy, Generalized Riemann invariants |
Classification： |
17B40, 17B50 |
|
|
Download PDF Full-Text
|
|
|
|
