Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions

DOI10.1016/j.nonrwa.2011.08.005zbMath1238.35090OpenAlexW2009181043MaRDI QIDQ420096

Guochun Wu, Zhong Tan

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.08.005

zbMATH Keywords

hybrid Besov spacesglobal existence and uniqueness

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (11)

Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model ⋮ Regularity of weak solutions of compressible isentropic self-gravitating fluid ⋮ Global strong solutions to the 3D non-isentropic compressible Navier-Stokes-Poisson equations in bounded domains ⋮ Decay of the Navier-Stokes-Poisson equations ⋮ Optimal temporal decay rate of the non‐isentropic compressible Navier–Stokes–Poisson system ⋮ Unnamed Item ⋮ Stability of steady-state solutions to Navier-Stokes-Poisson systems ⋮ Asymptotic stability of stationary solutions for magnetohydrodynamic equations ⋮ Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations ⋮ Optimal time-decay rates of the compressible Navier-Stokes-Poisson system in \(\mathbb{R}^3\) ⋮ Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force

Cites Work

• Unnamed Item
• Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Global existence in critical spaces for compressible Navier-Stokes equations
• Global in time weak solutions for compressible barotropic self-gravitating fluids
• A remark about global existence for the Navier-Stokes-Poisson system
• Anisotropic Navier-Stokes equation in critical spaces
• On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
• L²Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
• Local and global existence for the coupled Navier-Stokes-Poisson problem
• Global existence in critical spaces for flows of compressible viscous and heat-conductive gases

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