Asymptotic behavior of the subcritical surface Quasi-Geostrophic equations in critical space
In this project, we study the initial value-problem for the two-dimensional dissipation quasi-geostrophic equations. We give some new properties of the functional space called Lie-Lin spaces. Furthermore, we prove the global well posedness in a new scale invariant space for small data. Finally, we establish the asymptotic behavior of the solution to the subcritical quasi-geostrophic equations in the Lei-Lin spaces.
