Dec 19, 2023
Solutions of the semigeostrophic equation on a rotating sphere
Mathphys Analysis Seminar
Date: December 19, 2023 |
4:15 pm –
5:15 pm
Speaker:
Lauro Silini, ETH Zürich
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Language:
English
Hoskins' semigeostrophic equation is one of the most effective meteorological model that represents the formation of transported interfaces (frontogenesis) over the earth. We will present its surprising connection with the theory of optimal transportation when studied in the periodic and flat case, and highlight the major difficulties to extend this argument in the curved setting. We prove local-in-time existence of smooth solutions in subdomains of a rotating sphere taking advantage of an alternative approach based on peculiar cancellation properties intrinsic in the equation's structure.
