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Book Sections Year : 2018

Large Time Behavior of the Navier-Stokes Flow

Maria E Schonbek
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Abstract

Different results related to the asymptotic behavior of incompressible fluid equations are analyzed as time tends to infinity. The main focus is on the solutions to the Navier-Stokes equations, but in the final section a brief discussion is added on solutions to Magneto-Hydrodynamics, Liquid crystals, Quasi-Geostrophic and Boussinesq equations. Consideration is given to results on decay, asymptotic profiles, and stability for finite and nonfinite energy solutions.
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Dates and versions

hal-02158208 , version 1 (17-06-2019)

Identifiers

  • HAL Id : hal-02158208 , version 1

Cite

Lorenzo Brandolese, Maria E Schonbek. Large Time Behavior of the Navier-Stokes Flow. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Giga Y., Novotný A. (eds), Springer International Publishing, pp.579-645, 2018. ⟨hal-02158208⟩
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