Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies

DOI10.1016/j.jmaa.2014.06.033zbMath1296.85002arXiv1408.0716OpenAlexW2061022109WikidataQ59292152 ScholiaQ59292152MaRDI QIDQ401127

Manwai Yuen, Man Kam Kwong

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1408.0716

zbMATH Keywords

periodic solutionsEuler-Poisson equationsgaseous starsrotational solutionsgalaxies evolutiongalaxies formation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Galactic and stellar dynamics (85A05) Initial value problems for first-order hyperbolic systems (35L45) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (6)

Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow ⋮ Pulsating flows of the 2D Euler-Poisson equations ⋮ Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains ⋮ Cartesian solutions for the incompressible density-dependent Euler-Poisson equations in \(\mathbb R^N\) ⋮ Blowup for the compressible isothermal Euler equations with non-vacuum initial data ⋮ New method for blowup of the Euler-Poisson system

Cites Work

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• Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations
• Local existence of solutions for Euler-Poisson equations
• Blowup phenomena of solutions to Euler--Poisson equations
• Exact spiral solutions of the two-dimensional Euler equations
• Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars
• Solution reguliere a temps petit pour l'equation d'euler—poisson
• Analytical blowup solutions to the pressureless Navier–Stokes–Poisson equations with density-dependent viscosity inR^N
• Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars
• Analytically periodic solutions to the three-dimensional Euler–Poisson equations of gaseous stars with a negative cosmological constant

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