Stochastic differential equations (SDEs) provide a foundational framework for modelling systems subject to randomness, incorporating both continuous fluctuations and abrupt changes. In recent decades ...
In this paper, we study the 2D stochastic quasi-geostrophic equation on 𝕋2 for general parameter α ∈ (0, 1) and multiplicative noise. We prove the existence of weak solutions and Markov selections ...