Spring 2012, Math 290J
Nonlinear PDE seminar

Time/Place: Mondays 4:30-6pm, MS 3915D

We will meet weekly to present and discuss recent and not so recent papers in nonlinear PDE theory.
Below is a list of  papers and schedule of presentations.


 April 9th (Presenter: Alan Mackey)  J. H. von Brecht and A. L. Bertozzi,   Well-Posedness Theory for Aggregation Sheets.

link

April 16th and 23rd (Presenter: Will Feldman)  
(paper 1) L. Caffarelli, A. Mellet,  Capillary drops on an inhomogeneous surface: Contact angle hysteresis and sticking drop.

link

(paper 2) A. Mellet and J. Nolen,  Capillary drops on a rough surface.

link

April 30th (Presenter: Nestor Guillen) 
 S. Luckhaus,  Solutions for the two-phase Stefan problem with the Gibbs-Thomson Law for the melting temperature

European Journal of Applied Mathematics (1990), 1 : pp 101-111 (Hard copy available if requested)

May 7th (Presenter: Damon Alexander)  R. Jordan, D. Kinderlehrer and F. Otto,  The Variational Formulation of the Fokker-Planck equation.

link.

May 14th  and 21st  (Presenter: Jason Murphy) Concentration compactness for inter-critical NLS

References: 1. R. Killip and M. Visan, "Nonlinear Schrodinger Equations at Critical Regularity" (Clay lecture notes)

 link.
  
2. S. Shao, Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrodinger equation. 
 
link.
 
 
May 28th Memorial Day Holiday
 
 
June 4th  (Presenter: Sam Xu) Asymptotics of Some parabolic PDEs 

Reference: Sam's Note,  link.