Convergence rate for the compressible Navier-Strokes equations with external force

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)561-574
Journal / PublicationJournal of Hyperbolic Differential Equations
Issue number3
Publication statusPublished - Sept 2006


For the compressible Navier-Stokes equations with a stationary potential force, the stability of the stationary solutions was studied by Matsumura and Nishida. The convergence rate to the stationary solutions in time was later studied by Deckelnick which was improved by Shibata and Tanaka for more general external forces. This paper deals with the case for the stationary potential force under some smallness condition, to establish an almost optimal convergence rate in L2 (ℝN) -norm for N ≥ 3. © 2006 World Scientific Publishing Company.

Research Area(s)

  • Convergence rate, Energy methods, Navier-Stokes equations, Spectrum estimate