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

Piotr Zgliczynski

arxiv: math/0103053 · v1 · submitted 2001-03-07 · 🧮 math.AP · math.DS

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

Piotr Zgliczynski This is my paper

classification 🧮 math.AP math.DS

keywords boundaryconditionsequationsexistencenavier-stokesperiodicplaneproof

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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.

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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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