On the regularity of a class of generalized quasi-geostrophic equations

Changxing Miao, Liutang Xue

In this article we consider the following generalized quasi-geostrophic equation \partial_tθ+ u\cdot\nabla θ+ νΛ^βθ=0, \quad u= Λ^α\mathcal{R}^\botθ, \quad x\in\mathbb{R}^2, where…