Infinitesimal invariance of completely Random Measures for 2D Euler Equations
Infinitesimal invariance of completely Random Measures for 2D Euler Equations
We consider suitable weak solutions of 2-dimensional Euler equations on bounded domains, and show that the class of completely random measures is infinitesimally invariant for the dynamics. Space regularity of samples of these random fields falls outside of the well-posedness regime of the PDE under consideration, so it is necessary …