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arXiv · 1301.5570

Remarks on the Einstein-Euler-Entropy system

Marcelo M. Disconzi
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Abstract

We prove short-time existence for the Einstein-Euler-Entropy system for non-isentropic fluids with data in uniformly local Sobolev spaces. The cases of compact as well as non-compact Cauchy surfaces are covered. The method employed uses a Lagrangian description of the fluid flow which is based on techniques developed by Friedrich, hence providing a completely different proof of earlier results of Choquet-Bruhat and Lichnerowicz. This new proof is specially suited for applications to self-gravitating fluid bodies.

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Marcelo M. Disconzi. 2013-01-23. Remarks on the Einstein-Euler-Entropy system. https://doi.org/10.1142/s0129055x15500142

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