Fractionally dissipative stochastic quasi-geostrophic type equations on $R^d$

Abstract

Stochastic fractionally dissipative quasi-geostrophic type equation on $R^d$ with a multiplicative Gaussian noise is considered. We prove the existence of a martingale solution. In the 2D sub-critical case we prove also the pathwise uniqueness of the solutions.

The paper has been withdrawn by the authors due to some errors which are under correction

References in corpus (1)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Cited by in corpus (1)

• Well-posedness for a stochastic Camassa-Holm type equation with higher order nonlinearities