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arXiv:1901.06744 [math.PR]AbstractReferencesReviewsResources

Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation

Francesco Grotto

Published 2019-01-20Version 1

Existence of stationary point vortices solution to the damped and stochastically driven Euler's equation on the two dimensional torus is proved, by taking limits of solutions with finitely many vortices. A central limit scaling is used to show in a similar manner the existence of stationary solutions with white noise marginals.

Comments: 24 pages
Categories: math.PR
Subjects: 35Q35, 35R60, 60G10, 60H15, 76B03, 76M35
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