Professor Camillo De Lellis (University of Zurich) speaks about his work on nonlinear equations.
Professor Piotr Chrusciel (University of Vienna) speaks about his work on nonlinear equations.
CMSA has been hosting a special program on nonlinear equations. 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.
To learn more about the program and the participants, take a trip over to the main CMSA site!
We’ll be posting some interviews with some of the researchers participating in program.