Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations

Article

Abstract.

We consider in this paper the relativistic Euler equations in isentropic fluids with the equation of state p = κ2ρ, where κ, the sound speed, is a constant less than the speed of light c. We discuss the convergence of the entropy solutions as c→∞. The analysis is based on the geometric properties of nonlinear wave curves and the Glimm’s method.

Mathematics Subject Classification (2000).

Primary: 35B40 35A05 76Y05 Secondary: 35B35 35L65 85A05 

Keywords.

Isentropic relativistic Euler equations entropy solutions Riemann solutions Glimm’s scheme Lorentz transformation 

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Jiao Tong UniversityShanghai
  2. 2.Department of MathematicsShanghai Jiao Tong UniversityShanghai

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