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

Xingwen Hao; Yachun Li; Zejun Wang

doi:10.3934/cpaa.2010.9.365

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2010, Volume 9, Issue 2: 365-386. Doi: 10.3934/cpaa.2010.9.365

This issue Previous Article Remarks on the orbital instability of standing waves for the wave-Schrödinger system in higher dimensions Next Article Begehr-Hile operator and its applications to some differential equations

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

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

Received: April 30, 2009

Revised: August 31, 2009

Published: February 2010

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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.

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Mathematics Subject Classification: Primary: 35B40, 35A05, 76Y05; Secondary: 35B35, 35L65, 85A05.

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