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Erschienen in:
Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

11. Large Time Behavior of the Navier-Stokes Flow

verfasst von : Lorenzo Brandolese, Maria E. Schonbek

Erschienen in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Verlag: Springer International Publishing

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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 magnetohydrodynamics, liquid crystals, and 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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Vorheriges Kapitel Time-Periodic Solutions to the Navier-Stokes Equations
Nächstes Kapitel Critical Function Spaces for the Well-Posedness of the Navier-Stokes Initial Value Problem
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Metadaten
Titel
Large Time Behavior of the Navier-Stokes Flow
verfasst von
Lorenzo Brandolese
Maria E. Schonbek
Copyright-Jahr
2018
Buch
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Print ISBN: 978-3-319-13343-0

Electronic ISBN: 978-3-319-13344-7

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-13344-7_11