MI Preprints

Title:Long time existence and the asymptotic behavior of solutions for the 2D quasi-geostrophic equation with large dispersive forcing
Author : Mikihiro Fujii
Abstract: We consider the initial value problem of the 2D dispersive quasi-geostrophic equation. We prove the long time existence of the solution for given initial data satisfying the same regularity assumption for the local well-posedness. Moreover, we show that the solution converges to the corresponding linear dispersive solution when the size of dispersion parameter goes to infinity.

File: 2019-1pdf