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Models and Special Solutions of the Navier-Stokes Equations

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

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  • Hisashi Okamoto

    (Kyoto University, Research Institute for Mathematical Sciences
    Gakushuin University, Department of Mathematics)

Abstract

Some aspects of the roles of exact solutions of the Navier-Stokes equations are considered with special emphasis on their well posedness. Many of them are classical examples, but they are looked at from a modern viewpoint of partial differential equations. Also considered are model equations describing motion of incompressible viscous fluid. Demonstrations are given for importance of both nonlinearity and nonlocality alike by mathematical analyses and numerical experiments.

Suggested Citation

  • Hisashi Okamoto, 2018. "Models and Special Solutions of the Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 14, pages 729-780, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_14
    DOI: 10.1007/978-3-319-13344-7_14
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