Article Contents
Article Contents

Global attractors of two layer baroclinic quasi-geostrophic model

The work was supported in part by the National Science Foundation of China under Grant 11761044

• We study the dynamics of a two-layer baroclinic quasi-geostrophic model. We prove that the semigroup $\{S(t)\}_{t\geq 0}$ associated with the solutions of the model has a global attractor in both ${{\dot H}_{p}}^1(\Omega)$ and ${{\dot H}_{p}}^2(\Omega)$. Also we show that for any viscosity $\mu>0$, there is an open and dense set of forcing $\mathcal G\subset{{\dot H}_{p}}^0(\Omega)$ such that for each $G = (g_1, g_2)\in \mathcal G$, the set $S(G, \mu) \subset {{\dot H}_{p}}^4(\Omega)$ of the steady state problem is non–empty and finite.

Mathematics Subject Classification: 37C70.

 Citation:

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