# American Institute of Mathematical Sciences

March  2010, 9(2): 365-386. doi: 10.3934/cpaa.2010.9.365

## Non-relativistic global limits to the three dimensional relativistic euler equations with spherical symmetry

 1 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China 2 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030 3 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received  May 2009 Revised  September 2009 Published  December 2009

As a fundamental and important step to understand the existence and behavior of solution to the multi-dimensional problem, we study in this paper the three dimensional relativistic Euler equations with spherical symmetry. We obtain the non-relativistic global limits of entropy solutions to the Cauchy problem of the spherically symmetric relativistic Euler equations.
Citation: Xingwen Hao, Yachun Li, Zejun Wang. Non-relativistic global limits to the three dimensional relativistic euler equations with spherical symmetry. Communications on Pure & Applied Analysis, 2010, 9 (2) : 365-386. doi: 10.3934/cpaa.2010.9.365
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