On the critical mass of the collapse of a gaseous star in spherically symmetric and isentropic motion

DOI10.1007/BF03167322zbMath0913.35108OpenAlexW2049526231MaRDI QIDQ1275853

Chun-Chieh Fu, Song-Sun Lin

Publication date: 31 May 1999

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167322

zbMATH Keywords

gravitational collapsecritical massEuler-Poisson equationgaseous star

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (12)

Blow-up phenomena of solutions to the Euler equations for compressible fluid flow ⋮ Star dynamics: Collapse vs. expansion ⋮ An analysis to a model of tornado ⋮ Global existence for the \(N\) body Euler-Poisson system ⋮ A Model of Radiational Gaseous Stars ⋮ Continued Gravitational Collapse for Gaseous Star and Pressureless Euler--Poisson System ⋮ Global finite-energy solutions of the compressible Euler-Poisson equations for general pressure laws with large initial data of spherical symmetry ⋮ Continued gravitational collapse for Newtonian stars ⋮ On the expanding configurations of viscous radiation gaseous stars: thermodynamic model ⋮ Larson-Penston self-similar gravitational collapse ⋮ On the expanding configurations of viscous radiation gaseous stars: the isentropic model ⋮ Gravitational collapse for polytropic gaseous stars: self-similar solutions

Cites Work

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• Symmetry and related properties via the maximum principle
• The global weak solutions of compressible Euler equation with spherical symmetry
• Global weak solutions of the compressible Euler equation with spherical symmetry. II
• Numbers of equilibria for the equation of self-gravitating isentropic gas surrounding a solid ball
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars
• Stability of Gaseous Stars in Spherically Symmetric Motions
• On the collapse of a spherically symmetric star

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