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A priori estimates for a relativistic liquid with free surface boundary

· 2018 · math.AP · arXiv 1811.06915

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abstract

We prove energy estimates for a relativistic free liquid body with sufficiently small fluid velocity in a general Einstein spacetime. These estimates control Sobolev norms of the fluid velocity and enthalpy in the interior as well as Sobolev norms of the second fundamental form on the boundary.

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math.AP 1

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2019 1

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UNVERDICTED 1

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Dynamical relativistic liquid bodies

math.AP · 2019-07-18 · unverdicted · novelty 5.0

Proves local-in-time existence of solutions to the relativistic Euler equations representing dynamical liquid bodies in vacuum.

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  • Dynamical relativistic liquid bodies math.AP · 2019-07-18 · unverdicted · none · ref 29 · internal anchor

    Proves local-in-time existence of solutions to the relativistic Euler equations representing dynamical liquid bodies in vacuum.