Blowup of regular solutions for the relativistic Euler-Poisson equations

DOI10.1016/J.JMAA.2016.01.031zbMath1339.85002arXiv1509.01543OpenAlexW2201340055WikidataQ59292134 ScholiaQ59292134MaRDI QIDQ268589

Sen Wong, Manwai Yuen, Wai Hong Chan

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01543

zbMATH Keywords

vacuuminitial value problemblowupintegration methodradial symmetryrelativistic Euler-Poisson equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Exact solutions to problems in general relativity and gravitational theory (83C15) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (7)

A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy ⋮ Dynamical behaviors of blowup solutions in trapped quantum gases: concentration phenomenon ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation ⋮ Long-time behaviours of classical solutions to relativistic Euler-Poisson equations ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state

Cites Work

• Unnamed Item
• Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry
• Global smooth solutions to relativistic Euler-Poisson equations with repulsive force
• Blowup for the Euler and Euler-Poisson equations with repulsive forces
• Blowup of smooth solutions for relativistic Euler equations
• Blow-up phenomena for compressible Euler equations with non-vacuum initial data
• A symmetrization of the relativistic Euler equations with several spatial variables
• Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations
• Formation of singularities in solutions to nonlinear hyperbolic equations
• Formation of singularities in three-dimensional compressible fluids
• Local smooth solutions of the relativistic Euler equation
• Local smooth solutions of the relativistic Euler equation. II
• On the steady state relativistic Euler-Poisson equations
• Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force
• Blowup for the \(C^1\) solutions of the Euler-Poisson equations of gaseous stars in \(\mathbb R^N\)
• Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations
• Sur la solution à support compact de l’equation d’Euler compressible
• Non-existence of global solutions to Euler-Poisson equations for repulsive forces

This page was built for publication: Blowup of regular solutions for the relativistic Euler-Poisson equations