Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane

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Using ODE-methods and trapping regions derived by Mattingly and Sinai we give a new proof of the existence and uniqueness of solutions to Navier-Stokes equations with periodic boundary conditions on the plane.
22 pages

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Analysis of PDEs, Dynamical Systems, 35Q30, 76D03, 34G20

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http://salesiana.dossiersoluciones.com/handle/123456789/61061

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103053
 http://arxiv.org/abs/math/0103053

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arXiv