JournalsrlmVol. 23, No. 1pp. 1–27

The 2-DD constrained NSNS equation and stochastic vortex theory

  • Mario Pulvirenti

    Università di Roma La Sapienza, Italy
  • E. Rossi

    Università di Roma La Sapienza, Italy
The 2-$D$ constrained $NS$ equation and stochastic vortex theory cover
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Abstract

We consider a modified version of the two-dimensional NS equation introduced in [4], [5] preserving energy and momentum of inertia. The physical motivation of this approach is the occurrence of di¤erent dissipation time scales. The constraint we consider is related to the gradient flow structure of the 2-D Navier-Stokes equation with respect to the Wasserstein metric. In this paper we justify the choice of this metric from the point of view of the stochastic vortex theory.

Cite this article

Mario Pulvirenti, E. Rossi, The 2-DD constrained NSNS equation and stochastic vortex theory. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 23 (2012), no. 1, pp. 1–27

DOI 10.4171/RLM/614