Stability for steady states of Navier-Stokes-Poisson equations

DOI10.1016/J.NA.2011.05.016zbMath1219.35178OpenAlexW1969164140MaRDI QIDQ549958

Huazhao Xie, Suli Li

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.016

zbMATH Keywords

nonlinear stabilitystationary solutionNavier-Stokes-Poisson equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30)

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system
• Multiplicity of stationary solutions to the Euler--Poisson equations
• Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars
• Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients
• Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations
• Symmetry and related properties via the maximum principle
• Blowup phenomena of solutions to Euler--Poisson equations
• Nonlinear stability of gaseous stars
• A note on compressible Navier-Stokes equations with vacuum state in one dimension
• Variational solutions of some nonlinear free boundary problems
• Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals

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