Global well‐posedness and blow‐up criterion for the periodic quasi‐geostrophic equations in Lei‐Lin‐Gevrey spaces

摘要

> In this paper we consider a periodic 2‐dimensional quasi‐geostrophic equations with subcritical dissipation. We show the global existence and uniqueness of the solution θ ∈ C ( [ 0 , T ] , Y a , σ 1 ? 2 α ( T 2 ) ) for small initial data in the Lei‐Lin‐Gevrey spaces 展开▼