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SUMMARY:Thomas Alazard (École Normale Supérieure de Paris-Saclay)
DTSTART:20200604T140000Z
DTEND:20200604T145000Z
DTSTAMP:20260423T035633Z
UID:IMS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/23/">Ent
 ropies of free surface flows in fluid dynamics</a>\nby Thomas Alazard (Éc
 ole Normale Supérieure de Paris-Saclay) as part of PDE seminar via Zoom\n
 \n\nAbstract\nI will discuss recent works with Didier Bresch\, Nicolas Meu
 nier and Didier Smets about the dynamics of a free surface transported by 
 an incompressible flow obeying Darcy’s law. I will consider the Hele-Sha
 w and Mullins-Sekerka equations\, as well as the thin-film and Boussinesq 
 equations. For these equations\, I will present monotonicity properties of
  different natures : maximum principles\, Lyapunov functionals and entropi
 es. The analysis is based on exact identities which in turn allow to study
  the Cauchy problem for classical solutions in any subcritical Sobolev spa
 ces.\n\nHere is the poster of this talk: \nhttps://www.dropbox.com/s/3ixoc
 26oxs2tblj/9th%20PDE%20Seminar.pdf?dl=0\n\nPlease visit our website to get
  more information: \n\nhttps://nguyenquochung1241.wixsite.com/qhung/post/p
 de-seminar-via-zoom\n
LOCATION:https://researchseminars.org/talk/IMS/23/
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