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Abstract |
We consider the steady-state Surface Quasi-Geostrophic equation in the whole space R2 driven by a forcing function f. The class of source functions f under certain
assumptions yield the existence of at least one solution with nite energy ( nite L2 norm). These solutions are unique among all solutions with nite energy. The
constructed solutions are also shown to be stable in the following sense: If Θ is
such a solution then any viscous, incompressible ow in the whole space, driven by
f and starting with nite energy, will return to .
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