Non-relativistic global limits to the three dimensional
relativistic euler equations with spherical symmetry
Xingwen Hao - Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China (email)
Abstract: 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.
Keywords: Relativistic Euler equations, spherical symmetry,
weak solutions, non-relativistic limits, shock curves, rarefaction
Received: May 2009; Revised: September 2009; Published: December 2009.
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