The 2- constrained equation and stochastic vortex theory
Mario Pulvirenti
Università di Roma La Sapienza, ItalyE. Rossi
Università di Roma La Sapienza, Italy
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- constrained 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