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arXiv · 0807.2203

On a constrained 2-D Navier-Stokes equation

E. Caglioti·M. Pulvirenti·F. Rousset
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Abstract

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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E. Caglioti, M. Pulvirenti, F. Rousset. 2008-07-14. On a constrained 2-D Navier-Stokes equation. https://doi.org/10.1007/s00220-008-0720-1

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