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The Surface Quasi-Geostrophic Equation on the sphere

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Diego Alonso Orán
Tue, 2018-12-11 12:00 - 13:00
MPIM Lecture Hall

The SQG equation models the evolution of buoyancy, or potential temperature, on the 2D horizontal boundaries of general 3D quasi- geostrophic equations. In this talk, we will present some regularity results for its dissipative analogue in the critical regime for the two dimensional sphere. The main techniques build over the work of Caffarelli-Vasseur based on the De Giorgi method and the nonlinear maximum principles due to Constantin-Vicol.

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