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On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation

M. Pulvirenti — 2008

Bollettino dell'Unione Matematica Italiana

This talk, based on a research in collaboration with E. Caglioti and F.Rousset, deals with a modified version of the two-dimensional Navier-Stokes equation wich preserves energy and momentum of inertia. Such a new equation is motivated by the occurrence of different dissipation time scales. It is also related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics.

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