The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion

DOI10.1007/s00205-022-01783-3zbMath1504.35248arXiv2007.05787OpenAlexW3041450882MaRDI QIDQ2149078

Marcelo M. Disconzi, Mihaela Ifrim, Daniel Tataru

Publication date: 28 June 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05787

zbMATH Keywords

well-posednessrelativistic Euler equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Special relativity (83A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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