PDE Geometric Analysis seminar: Difference between revisions
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|February 17 (joint with Analysis Seminar, 4:00 p.m., B139) | |February 17 (joint with Analysis Seminar, 4:00 p.m., B139) | ||
|Chanwoo Kim (Madison) | |Chanwoo Kim (Madison) | ||
|[[# | |[[#Chanwoo Kim (Madison) | Hydrodynamic limit from the Boltzmann to the Navier-Stokes-Fourier ]] | ||
|Seeger | |Seeger | ||
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Revision as of 16:27, 18 January 2015
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 2015
Seminar Schedule Spring 2015
| date | speaker | title | host(s) |
|---|---|---|---|
| January 21 (Departmental Colloquium: 4PM, B239) | Jun Kitagawa (Toronto) | Regularity theory for generated Jacobian equations: from optimal transport to geometric optics | Feldman |
| January 26 | |||
| February 2 | Jessica Lin (Madison) | TBA | Kim |
| February 9 | |||
| February 16 | |||
| February 17 (joint with Analysis Seminar, 4:00 p.m., B139) | Chanwoo Kim (Madison) | Hydrodynamic limit from the Boltzmann to the Navier-Stokes-Fourier | Seeger |
| February 23 | Jennifer Beichman (Madison) | TBA | Kim |
| March 2 | Benoit Pausader (Princeton) | TBA | Kim |
| March 9 | |||
| March 16 | |||
| March 23 | |||
| March 30 | Spring recess Mar 28-Apr 5 (S-N) | ||
| April 6 | |||
| April 13 | |||
| April 20 | Yuan Lou (Ohio State) | TBA | Zlatos |
| April 27 | |||
| May 4 |
Abstracts
Jun Kitagawa (Toronto)
Regularity theory for generated Jacobian equations: from optimal transport to geometric optics
Equations of Monge-Ampere type arise in numerous contexts, and solutions often exhibit very subtle qualitative and quantitative properties; this is owing to the highly nonlinear nature of the equation, and its degeneracy (in the sense of ellipticity). Motivated by an example from geometric optics, I will talk about the class of Generated Jacobian Equations; recently introduced by Trudinger, this class also encompasses, for example, optimal transport, the Minkowski problem, and the classical Monge-Ampere equation. I will present a new regularity result for weak solutions of these equations, which is new even in the case of equations arising from near-field reflector problems (of interest from a physical and practical point of view). This talk is based on joint works with N. Guillen.