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arXiv · 0807.2197

2-D constrained Navier-Stokes equation and intermediate asymptotics

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

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 related to the gradient flow structure of the 2-D 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.

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E. Caglioti, M. Pulvirenti, F. Rousset. 2008-07-14. 2-D constrained Navier-Stokes equation and intermediate asymptotics. https://doi.org/10.1088/1751-8113%2F41%2F34%2F344001

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