An application of the Nash-Moser theorem to the vacuum boundary problem of gaseous stars

DOI10.1016/j.jde.2016.09.042zbMath1368.35184arXiv1603.00569OpenAlexW2289196341MaRDI QIDQ340342

Tetu Makino

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1603.00569

zbMATH Keywords

Euler-Poisson equationsspherically symmetric solutionsNash-Moser theoryEinstein-Euler equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Implicit function theorems; global Newton methods on manifolds (58C15) Euler equations (35Q31) PDEs in connection with astronomy and astrophysics (35Q85)

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Cites Work

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• On spherically symmetric solutions of the Einstein-Euler equations
• Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
• Time-periodic approximations of the Euler-Poisson system near Lane-Emden stars
• On spherically symmetric stellar models in general relativity
• Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
• On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
• Monotone-short solutions of the Tolman-Oppenheimer-Volkoff-de Sitter equation
• 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
• On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations
• The inverse function theorem of Nash and Moser
• Real Interpolation of Sobolev Spaces on Subdomains of Rn

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