Blowup of Smooth Solutions for Relativistic Euler Equations

@inproceedings{Pan2005BlowupOS,
title={Blowup of Smooth Solutions for Relativistic Euler Equations},
author={Ronghua Pan and Joel A. Smoller},
year={2005}
}

We study the singularity formation of smooth solutions of the relativistic Euler equations in (3 + 1)-dimensional spacetime for both finite initial energy and infinite initial energy. For the finite initial energy case, we prove that any smooth solution, with compactly supported non-trivial initial data, blows up in finite time. For the case of infinite initial energy, we first prove the existence, uniqueness and stability of a smooth solution if the initial data is in the subluminal region… CONTINUE READING