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

2017/01/19 by Zdzisław Brzeźniak, Brzezniak, Zdzislaw, Elżbieta Motyl +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Probability #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1701.05635

openalex publication_date 2017/01/19 · openalex created_date 2017/02/03 · openalex updated_date 2026/07/28

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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• Harnack inequalities for nonlocal operators with supercritical drifts and their applications

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