Solution reguliere a temps petit pour l'equation d'euler—poisson

DOI10.1080/03605309308820948zbMath0782.35058OpenAlexW2065309295MaRDI QIDQ3141712

Pascal Gamblin

Publication date: 1 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820948

zbMATH Keywords

Cauchy sequencelocal existence theoremgravitation operator on uniformly local Sobolev spaces

Mathematics Subject Classification ID

Related Items (30)

Singular behavior of vacuum states for compressible fluids ⋮ Local existence of solutions for Euler-Poisson equations ⋮ On the global existence for the compressible Euler-Riesz system ⋮ Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid ⋮ Sequential stability of weak solutions in compressible self-gravitating fluids and stationary problem ⋮ Pulsating flows of the 2D Euler-Poisson equations ⋮ Local existence of solutions to the Euler-Poisson system, including densities without compact support ⋮ Local existence of solutions of self gravitating relativistic perfect fluids ⋮ Formation of singularities to the Euler-Poisson equations ⋮ Mechanisms of Lagrangian analyticity in fluids ⋮ Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies ⋮ Blowup for the Euler and Euler-Poisson equations with repulsive forces ⋮ A note on complete bounded trajectories and attractors for compressible self-gravitating fluids ⋮ Stabilities for Euler-Poisson equations in some special dimensions ⋮ Mean field limit for Coulomb-type flows ⋮ Nonlinear instability in gravitational Euler-Poisson systems for \(\gamma=\frac{6}{5}\) ⋮ Improved blowup results for the Euler and Euler-Poisson equations with repulsive forces ⋮ Singularities of solutions to the compressible Euler equations and Euler-Poisson equations with damping ⋮ The Cauchy problem for a modified Euler-Poisson system in one dimension ⋮ Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars ⋮ Local existence of solutions to the Euler-Poisson system, including densities without compact support ⋮ On radially symmetric solutions of the compressible isentropic self-gravitating fluid ⋮ Blowup for the \(C^1\) solutions of the Euler-Poisson equations of gaseous stars in \(\mathbb R^N\) ⋮ Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order ⋮ Blowup solutions for a class of fluid dynamical equations in \(\mathbb{R}^N\) ⋮ Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid ⋮ On the global existence for the compressible Euler-Poisson system, and the instability of static solutions ⋮ Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure ⋮ The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings ⋮ Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars II

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Compressible and incompressible fluids

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