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Seminars

Global solutions to the dissipative quasi-geostrophic equation with dispersive forcing

Hold Date
2020-01-31 14:10〜2020-01-31 14:40
Place
Seminar Room W1-D-625, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Mikihiro FUJII (Kyushu University)

Abstract:
We consider the initial value problem for the 2D critical and super-critical quasi-geostrophic equation with dispersive forcing term. We establish a unique global solution for a given initial data which belongs to the scaling sub-critical Sobolev space if the size of dispersion parameter is sufficiently large. We also obtain the relationship between the initial data and the dispersion parameter, which ensures the existence of the global solution.