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# Kwak transformation and Navier-Stokes equations

• In this paper we study the asymptotic dynamics of the 2-dimensional Navier-Stokes equations on a bounded domain $\Omega \subset R^2$ with the mixed-free boundary conditions. We prove that there exists a system of reaction-diffusion equations which possesses exactly the same asymptotic dynamics as the Navier-Stokes equations.
Mathematics Subject Classification: Primary 35Q30; Secondary 35K57, 34B40, 76D05.

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