Well-posedness of solutions for the 2D stochastic quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces

Abstract

In this article, we apply the Ito integral to obtain the global solutions for stochastic quasi-geostrophic equations in Fourier-Besov-Morrey spaces. For comparison we also give the corresponding results of the deterministic quasi-geostrophic equations. We assume the initial data is F_0 measurable and the right-hand side is a random function in a Morrey space, to obtain the well posedness of stochastic quasi-geostrophic equations. For more information see https://ejde.math.txstate.edu/Volumes/2024/74/abstr.html