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Personal Profile of Dr. Maria Colombo

Dr. Maria Colombo

Scuola Normale Superiore

Dipartimento di Matematica

ORCID: https://orcid.org/0000-0003-3294-472X

• Talks

1. October 14, 2013 - October 18, 2013

   Workshop Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation

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   Oct 14, 2013 Monday

   02:00 PM - 03:00 PM   Existence of distributional solutions to the semigeostrophic equations Maria Colombo (Scuola Normale Superiore) Location MSRI: Simons Auditorium Video Abstract The semigeostrophic equations are a set of equations which model large-scale atmospheric/ocean flows. The system admits a dual version, obtained from the original equations through a change of variable. Existence for the dual problem has been proven in 1998 by Benamou and Brenier, but the existence of a solution of the original system remained open due to the low regularity of the change of variable. In the talk we prove the existence of distributional solutions of the original equations, both in R^3 and in a two-dimensional periodic setting. The proof is based on recent regularity and stability estimates for Alexandrov solutions of the Monge-Amp`ere equation, established by De Philippis and Figalli. Supplements Colombo 322 KB application/pdf Show Detail

2. September 24, 2013 (03:45 PM PDT - 04:45 PM PDT)

   Seminar OT Programmatic Seminar: Multimarginal optimal transport with Coulomb cost