Fractionally Dissipative Stochastic Quasi-Geostrophic Type Equations on ${\mathbb{R}}^{d}$

DOI10.1137/17M1111589zbMath1419.60049arXiv1701.05635OpenAlexW2963950620MaRDI QIDQ5231310

Elżbieta Motyl, Zdzisław Brzeźniak

Publication date: 26 August 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05635

zbMATH Keywords

pathwise uniquenessBessel potentialfractional Laplacianmartingale solutionstochastic quasi-geostrophic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (7)

Global existence, blow-up and stability for a stochastic transport equation with non-local velocity ⋮ Strong solutions to a nonlinear stochastic aggregation-diffusion equation ⋮ Noise effects in some stochastic evolution equations: global existence and dependence on initial data ⋮ A note on stochastic Navier-Stokes equations with not regular multiplicative noise ⋮ Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay ⋮ Maximal Inequalities and Exponential Estimates for Stochastic Convolutions Driven by Lévy-type Processes in Banach Spaces with Application to Stochastic Quasi-Geostrophic Equations ⋮ Noise effect in a stochastic generalized Camassa-Holm equation

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