Solutions of the semigeostrophic equation on a rotating sphere
Mathphys Analysis Seminar
Date
Tuesday, December 19, 2023 16:15 - 17:15
Speaker
Lauro Silini (ETH Zürich)
Location
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Jan Maas
Contact
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.