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On the local well-posedness for the relativistic Euler equations for a liquid body

Annals of PDE, ISSN: 2199-2576, Vol: 9, Issue: 2
2023
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Article Description

We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori estimate which only requires control of derivatives tangential to the boundary, which holds also in the Newtonian compressible case.

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