2-D constrained Navier-Stokes equation and intermediate asymptotics

Details 2-D constrained Navier-Stokes equation and intermediate asymptotics 2-D constrained Navier-Stokes equation and intermediate asymptotics

2008-07-14

arxiv.org/abs/0807.2197v1

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/41/34/344001

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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