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

Zdzislaw Brzezniak; Elżbieta Motyl

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arXiv · 1701.05635

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

Zdzislaw Brzezniak·Elżbieta Motyl

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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.

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Zdzislaw Brzezniak, Elżbieta Motyl. 2017-01-19. Fractionally dissipative stochastic quasi-geostrophic type equations on $R^d$. https://arxiv.org/abs/1701.05635

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