On a constrained 2-D Navier-Stokes equation

Details On a constrained 2-D Navier-Stokes equation On a constrained 2-D Navier-Stokes equation

2008-07-14

arxiv.org/abs/0807.2203v1

Mathematics

Analysis of PDEs

Scientific paper

The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. Motivated by the separation of the different time scales observed in the dynamics of the Navier-Stokes equation, we study the well-posedness and asymptotic behaviour of a constrained equation which neglects the variation of the energy and moment of inertia.

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