Large Time Behavior of the Navier-Stokes Flow

Lorenzo Brandolese () and Maria E. Schonbek ()
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Lorenzo Brandolese: Université Lyon 1, Institut Camille Jordan
Maria E. Schonbek: University of California Santa Cruz, Department of Mathematics

Chapter 11 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 579-645 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_11

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