Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum

DOI10.1016/j.jde.2015.12.004zbMath1333.35198arXiv1511.02366OpenAlexW2964176161MaRDI QIDQ907807

Juhi Jang, Nader Masmoudi, Philippe G. LeFloch

Publication date: 26 January 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02366

zbMATH Keywords

Lagrangian formulationfree boundaryrelativistic fluidvacuum stateweighted energy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Special relativity (83A05) Compressible fluids and gas dynamics (76N99) Free boundary problems for PDEs (35R35)

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Cites Work

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• On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
• Nonlinear Instability Theory of Lane-Emden Stars
• Vacuum in Gas and Fluid Dynamics
• Well-posedness of Compressible Euler Equations in a Physical Vacuum
• Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
• Well-posedness for compressible Euler equations with physical vacuum singularity
• Hyperbolic Conservation Laws in Continuum Physics

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