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Large Time Behavior of the Navier-Stokes Flow

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

Listed:
  • Lorenzo Brandolese

    (Université Lyon 1, Institut Camille Jordan)

  • Maria E. Schonbek

    (University of California Santa Cruz, Department of Mathematics)

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.

Suggested Citation

  • Lorenzo Brandolese & Maria E. Schonbek, 2018. "Large Time Behavior of the Navier-Stokes Flow," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 11, pages 579-645, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_11
    DOI: 10.1007/978-3-319-13344-7_11
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