Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2008

The 2D constrained Navier-Stokes equation and intermediate asymptotics

Résumé

We introduce a modified version of the two-dimensional Navier-Stokes equation, preserving energy and momentum of inertia, which is motivated by the occurrence of different dissipation time scales and is related to the gradient flow structure of the 2D Navier-Stokes equation. The hope is to understand intermediate asymptotics. The analysis we present here is purely formal. A rigorous study of this equation will be done in a forthcoming paper

Dates et versions

hal-00373587 , version 1 (06-04-2009)

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Emanuele Caglioti, Mario Pulvirenti, Frédéric Rousset. The 2D constrained Navier-Stokes equation and intermediate asymptotics. Journal of Physics A: Mathematical and Theoretical, 2008, 41 (34), 344001 (9 p.). ⟨10.1088/1751-8113/41/34/344001⟩. ⟨hal-00373587⟩
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