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

Daniel Ginsberg; Hans Lindblad

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arXiv · 2109.01899

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

Daniel Ginsberg·Hans Lindblad

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Abstract

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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Daniel Ginsberg, Hans Lindblad. 2021-09-04. On the local well-posedness for the relativistic Euler equations for a liquid body. https://arxiv.org/abs/2109.01899

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