Nonlinear Equations Program

Most physical phenomena, from the gravitating universe to fluid dynamics, are modeled on nonlinear differential equations. The subject also makes close connections with other branches of mathematics. In particular, some of the deepest results in complex geometry and topology were obtained through solutions of nonlinear equations.

The subject underwent rapid developments in the last century and foundational results were established. Compared to linear equations, the difficulty of solving nonlinear equations is of a different order of magnitude and the methods employed in solving them are also much more diversified. To this date, it is an active field with recent exciting discoveries and renewed interests, and several long standing problems seem to be within reach. The special year aims to spur activity in this subject, to provide a natural setting for the most cutting edge results to be communicated, and to facilitate interaction among researchers of different backgrounds.

During the year, there will be two weekly seminar programs.  Each program participants will be asked to give a talk on geometric analysis, or the evolution of equations, hyperbolic equations, and fluid dynamics.   

Seminar on Geometric Analysis

Seminar on Evolution Equations

Seminar on General Relativity

Concluding Conference on Nonlinear Equations Program

Mini-School on Nonlinear Equations, Dec. 2016

 

 

 

 

 

 

 

 

Here is a partial list of the mathematicians who have indicated that they will attend part or all of this special program

Name Home Institution Tentative Visiting Dates
Stefano Bianchini SISSA 04/01/2016 – 05/31/2016
Lydia Bieri University of Michigan 02/01/2016 – 04/30/2016
Albert Chau University of British Columbia 02/26/2016 – 05/26/2016
Binglong Chen Sun Yat-sen University 09/01/2015 – 11/30/2015
Qingtao Chen ETHZ (Swiss Federal Institute of Technology in Zurich) 03/17/2016 – 04/04/2016
Piotr Chrusciel University of Vienna 03/01/2016 – 05/30/2016
Fernando Coda Marques Princeton University 04/25/2016 – 04/29/2016 05/23/2016 – 05/27/2016
Mihalis Dafermos Princeton University 04/01/2016 – 04/30/2016
Camillo De Lellis University of Zurich 02/01/2016 – 4/30/2016
Michael Eichmair University of Vienna 03/21/2016 – 04/01/2016
Felix Finster Universitat Regensburg 09/20/2015 – 10/20/2015 03/20/2016 – 04/20/2016
Xianfeng David Gu SUNY at Stony Brook 04/01/2016 – 04/30/2016
Zheng-Cheng Gu Perimeter Institute for Theoretical Physics 08/15/2015 – 09/15/2015
Pengfei Guan McGill University 10/10/2015 – 10/17/2015
Xiaoli Han Tsinghua University 01/20/2016 – 04/19/2016
Thomas Hou California Institute of Technology 11/01/2016 – 11/30/2016
Feimin Huang Chinese Academy of Sciences 02/15/2016 – 04/15/2016
Xiangdi Huang Chinese Academy of Sciences 09/10/2015 – 12/10/2015
Tom Ilmanen ETH Zurich 10/19/2015 – 12/18/2015
Niky Kamran McGill Univeristy 04/04/2016 – 04/08/2016
Nicolai Krylov University of Minnesota 11/01/2015 – 11/30/2015
Junbin Li Sun Yat-sen University 02/01/2016 – 04/30/2016
Yong Lin Renmin University of China 02/01/2016 – 03/31/2016
Andre Neves Imperial College London 4/25/2016 – 4/29/2016; 5/23/2016 – 5/27/2016
Duong H. Phong Columbia University 04/08/2016 – 04/10/2016
Ovidiu Savin Columbia University 10/15/2015 – 12/14/2015
Richard Schoen Stanford University 03/21/2016 – 03/25/2016
Mao Sheng University of Science and Technology of China 01/15/2016 – 01/28/2016
Valentino Tosatti Northwestern University 02/01/2016 – 04/15/2016
John Toth McGill University 04/04/2016 – 04/08/2016
Chung-Jun Tsai National Taiwan University 05/01/2016 – 05/08/2016
Tai-Peng Tsai University of British Columbia 03/20/2016 – 05/31/2016
Li-Sheng Tseng UC Irvine 02/08/2016 – 02/19/2016; 04/27/2016 – 05/11/2016
Chun Peng Wang Jilin University 02/01/2016 – 04/30/2016
Xu-Jia Wang Australian National University 04/01/2016 – 05/31/2016
Ben Weinkove Northwestern University 02/28/2016 – 03/18/2016
Sijue Wu University of Michigan 04/01/2016 – 04/30/2016
Chunjing Xie Shanghai Jiao Tong University 09/08/2015 – 12/07/2015
Zhou Ping Xin The Chinese University of Hong Kong 10/01/2015 – 11/30/2015
Hongwei Xu Zhejiang University 09/01/2015 – 11/30/2015
Peng Ye University of Illinois at Urbana-Champaign 11/15/2015 – 11/22/2015
Pin Yu Tshinghua University 09/07/2015 – 12/10/2015
Yi Zhang Fudan University 01/18/2016 – 05/31/2016

 

 

 

 

 

 

 

 

 

 

 

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