PDE Geometric Analysis seminar: Difference between revisions
Line 43:  Line 43:  
    
February 20  February 20  
   Eric Baer (UW)  
    
   
Revision as of 02:16, 7 February 2017
The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm  4:30pm, unless indicated otherwise.
Previous PDE/GA seminars
Tentative schedule for Fall 2017
PDE GA Seminar Schedule Spring 2017
date  speaker  title  host(s) 

January 23 Special time and location: 33:50pm, B325 Van Vleck 
Sigurd Angenent (UW)  Ancient convex solutions to Mean Curvature Flow  Kim & Tran 
January 30  Serguei Denissov (UW)  Instability in 2D Euler equation of incompressible inviscid fluid  Kim & Tran 
February 6  Benoit Perthame (University of Paris VI)  Wasow lecture  
February 13  Bing Wang (UW)  The extension problem of the mean curvature flow  Kim & Tran 
February 20  Eric Baer (UW)  
February 27  Ben Seeger (University of Chicago)  Tran  
March 7  Applied math/PDE/Analysis seminar  Roger Temam (Indiana University)  Mathematics Department Distinguished Lecture  
March 8  Applied math/PDE/Analysis seminar  Roger Temam (Indiana University)  Mathematics Department Distinguished Lecture  
March 13  Sona Akopian (UTAustin)  Kim  
March 27  Analysis/PDE seminar  Sylvia Serfaty (Courant)  Tran  
March 29  Sylvia Serfaty (Courant)  Wasow lecture  
April 3  Zhenfu Wang (Maryland)  Kim  
April 10  Andrei Tarfulea (Chicago)  Improved estimates for thermal fluid equations  Baer

April 24  Chris Henderson (Chicago)  TBA  Lin 
May 1st  Jeffrey Streets (UCIrvine)  Bing Wang 
Abstracts
Sigurd Angenent
The HuiskenHamiltonGage theorem on compact convex solutions to MCF shows that in forward time all solutions do the same thing, namely, they shrink to a point and become round as they do so. Even though MCF is illposed in backward time there do exist solutions that are defined for all t<0 , and one can try to classify all such “Ancient Solutions.” In doing so one finds that there is interesting dynamics associated to ancient solutions. I will discuss what is currently known about these solutions. Some of the talk is based on joint work with Sesum and Daskalopoulos.
Serguei Denissov
We consider the patch evolution under the 2D Euler dynamics and study how the geometry of the boundary can deteriorate in time.
Andrei Tarfulea
We consider a model for threedimensional fluid flow on the torus that also keeps track of the local temperature. The momentum equation is the same as for NavierStokes, however the kinematic viscosity grows as a function of the local temperature. The temperature is, in turn, fed by the local dissipation of kinetic energy. Intuitively, this leads to a mechanism whereby turbulent regions increase their local viscosity and dissipate faster. We prove a strong a priori bound (that would fall within the LadyzhenskayaProdiSerrin criterion for ordinary NavierStokes) on the thermally weighted enstrophy for classical solutions to the coupled system.
Bing Wang
We show that the mean curvature blows up at the first finite singular time for a closed smooth embedded mean curvature flow in R3. This is a joint work with H.Z. Li.