Trapping Regions and an Ode–type Proof of the Existence and Uniqueness Theorem for Navier–stokes Equations with Periodic Boundary Conditions on the Plane
نویسنده
چکیده
We present a new ODE–type method of passing to the limit with the dimension of Galerkin projection for dissipative PDEs. We apply this method to trapping regions derived by Mattingly and Sinai to 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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