Models and Special Solutions of the Navier-Stokes Equations

Hisashi Okamoto
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Hisashi Okamoto: Kyoto University, Research Institute for Mathematical Sciences

Chapter 14 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 729-780 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_14

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