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Well-posedness of the free boundary hard phase fluids in Minkowski background and its Newtonian limit

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arxiv 2003.02987 v2 pith:S64JIAYE submitted 2020-03-06 math.AP math-phmath.MP

Shuang Miao , Sohrab Shahshahani , Sijue Wu This is my paper · ORCID
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The hard phase model describes a relativistic barotropic irrotational fluid with sound speed equal to the speed of light. In this paper, we prove the local well-posedness for this model in the Minkowski background with free boundary. Moreover, we show that as the speed of light tends to infinity, the solution of this model converges to the solution of the corresponding Newtonian free boundary problem for incompressible fluids. In the appendix we explain how to extend our proof to the general barotropic fluid free boundary problem.

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  1. A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state

    math.AP 2024-11 conditional novelty 6.0 of 10

    For ideal-gas relativistic fluids with a physical vacuum boundary, the linearized equations satisfy a priori energy estimates in weighted H^{2k} spaces.

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