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BEGIN:VEVENT
UID:news491@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181229T224115
DTSTART;TZID=Europe/Zurich:20131113T151500
SUMMARY:Seminar Analysis: Maria Colombo (Scuola Normale Superiore di Pisa)
DESCRIPTION:The semigeostrophic equations are a set of equations which mode
 l large-scale atmospheric/ocean flows.\\r\\nThe system admits a dual versi
 on\, obtained  from the original equations through a change of variable. E
 xistence for  the dual problem has been proven in 1998 by Benamou and Bren
 ier\, but  the existence of a solution of the original system remained ope
 n due to  the low regularity of the change of variable.\\r\\nIn the talk w
 e prove the existence of  distributional solutions of the original equatio
 ns\, both in R3 and in a  two-dimensional periodic setting. The proof is b
 ased on recent  regularity and stability estimates for Alexandrov solution
 s of the  Monge-Ampère equation\, established by De Philippis and Figalli
 .
X-ALT-DESC:\nThe semigeostrophic equations are a set of equations which mod
 el large-scale atmospheric/ocean flows.\nThe system admits a dual version\
 , obtained  from the original equations through a change of variable. Exis
 tence 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 d
 ue to  the low regularity of the change of variable.\nIn the talk we prove
  the existence of  distributional solutions of the original equations\, bo
 th in R<sup>3</sup> and in a  two-dimensional periodic setting. The proof 
 is based on recent  regularity and stability estimates for Alexandrov solu
 tions of the  Monge-Ampère equation\, established by De Philippis and Fig
 alli.
DTEND;TZID=Europe/Zurich:20131113T161500
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