Long time behavior of weak solutions to Navier-Stokes-Poisson system

DOI10.1007/s00021-011-0051-4zbMath1294.35058OpenAlexW2057484041MaRDI QIDQ740347

Peter Bella

Publication date: 2 September 2014

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-011-0051-4

zbMATH Keywords

weak solutionsNavier-Stokes equationPoisson equationcompressible fluidslong time behavior

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces ⋮ Large-time behaviour of solutions to a class of non-Newtonian compressible fluids ⋮ Global strong solutions to the 3D non-isentropic compressible Navier-Stokes-Poisson equations in bounded domains ⋮ Global existence and decay of strong solutions to the compressible Navier-Stokes-Poisson equations in bounded domains ⋮ On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions ⋮ Unnamed Item ⋮ Optimal time-decay rates of the compressible Navier-Stokes-Poisson system in \(\mathbb{R}^3\) ⋮ Optimal decay rate of the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law ⋮ Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids ⋮ Large time behavior of solutions to wave equations arising from the linearized compressible Navier-Stokes-Poisson system

Cites Work

• Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force
• Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system
• Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid
• Ordinary differential equations, transport theory and Sobolev spaces
• Global in time weak solutions for compressible barotropic self-gravitating fluids
• Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
• Free boundary problem for the equation of spherically symmetric motion of viscous gas. III
• On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
• Local and global existence for the coupled Navier-Stokes-Poisson problem
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