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Lagrangian solutions for semigeostrophic system in physical space

Presented by: 
M Feldman University of Wisconsin-Madison
Date: 
Thursday 5th December 2013 - 10:15 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Adrian Tudorascu

In this introductory talk, we review results on existence of solutions to semigeostrophic system in physical and dual spaces. In particular, we show that Lagrangian solutions in physical space can be constructed for initial data satisfying a strict convexity condition. We also briefly discuss the recent joint work with A. Tudorascu, in which we relax the notion of Lagrangian solution to obtain existence for all convex initial data in physical space.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons