Breakdown of smooth solutions of the three-dimensional Euler–Poisson system

DOI10.1063/1.532370zbMath0912.35150OpenAlexW2058481262MaRDI QIDQ4213016

Uwe Brauer

Publication date: 25 May 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532370

zbMATH Keywords

singularitiescosmic censorship hypothesisrelativistic theory of gravitationcompressible Euler-Poisson system

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (5)

Blowup of regular solutions and \(C^1\) solutions for free boundary problem of Euler-Poisson equations with repulsive force in \({\mathbb{R}}^n \) ⋮ Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics ⋮ New method for blowup of the Euler-Poisson system ⋮ The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings ⋮ Blowup for \(C^2\) solutions of the \(N\)-dimensional Euler-Poisson equations in Newtonian cosmology

Cites Work

• Remarques sur l'apparition de singularités dans les écoulements euleriens compressibles. (Remarks on the appearance of singularities in compressible Euler flows)
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• An existence theorem for perturbed Newtonian cosmological models
• Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars

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