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arxiv: 1701.05635 · v2 · pith:TOQR7H6Onew · submitted 2017-01-19 · 🧮 math.PR

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

Zdzislaw Brzezniak , El\.zbieta Motyl This is my paper
classification 🧮 math.PR
keywords dissipativefractionallyprovequasi-geostrophicstochastictypecaseconsidered
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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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  1. Maximal inequalities and exponential estimates for stochastic convolutions driven by L\'{e}vy-type processes in Banach spaces with application to stochastic quasi-geostrophic equations

    math.PR 2019-07 unverdicted novelty 5.0

    Proves BDG and maximal inequalities for Lévy-driven stochastic convolutions in Banach spaces, derives Itô formulas, and establishes well-posedness for the stochastic quasi-geostrophic equation.