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Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids Read chapter Read first chapter

2018 | OriginalPaper | Chapter

11. Large Time Behavior of the Navier-Stokes Flow

Authors : Lorenzo Brandolese, Maria E. Schonbek

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

Publisher: 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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previous chapter Time-Periodic Solutions to the Navier-Stokes Equations
next chapter Critical Function Spaces for the Well-Posedness of the Navier-Stokes Initial Value Problem
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Metadata
Title
Large Time Behavior of the Navier-Stokes Flow
Authors
Lorenzo Brandolese
Maria E. Schonbek
Copyright Year
2018
Book
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

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

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

Copyright Year: 2018

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

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