Showing math.APShow all
3 papers · 1 filter
math.AP2022
Existence and Uniqueness of the Solution to the Anisotropic Quasi-Geostrophic Equations in the Sobolev Space
Jamel Benameur, Mustapha Amara
In this paper, we focus on the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and vertical thermal diffusion which represents a general c…
math.AP2022
On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space
Mustapha Amara
In this paper, we show that the global solution of the surface anisotropic two-dimensional quasi-geostrophic equation with fractional horizontal dissipation and vertical thermal di…
math.AP2022
Long-time behavior of global solutions of anisotropic quasi-geostrophic equations in Sobolev space
Mustapha Amara
We study the behavior at infinity in time of the global solution of the anisotropic quasi-geostrophic equation . We prove that this solut…