Ergodic Theory & Statistical Mechanics

This weekly seminar welcomes many visiting speakers and also provides a forum for results by Princeton/IAS faculty and graduate students. While most talks focus on one of the two namesake topics, there tends to be overlap with other fields. Most recently, talks have included material on celestial mechanics, number theory, probability theory, the Schrodinger equation, spectral theory and Teichmueller theory.

For more information about this seminar, contact Yakov Sinai or Jon Fickenscher

Please note room location is now Fine Hall 1001.

Please click on seminar title for complete abstract.

October 19, 2017
1:30pm - 3:00pm
Hadamard well-posedness of the gravity water waves equations

The gravity water waves equations consist of the incompressible Euler equations and an evolution equation for the free boundary of the fluid domain. Assuming the flow is irrotational, Alazard-Burq-Zuily (Invent. Math, 2014) proved that for any initial data in Sobolev space $H^s$, the problem has a unique solution lying in the same space, here s is the smallest index required to ensure that the fluid velocity is spatially Lipschitz. We will discuss the strategy of a proof of the fact that the flow map is continuous in the strong topology of H^s.

Fine Hall 1001
Speaker: Huy Quang Nguyen,
Princeton University
October 26, 2017
2:00pm - 3:30pm
TBA-: Hahng-Yun Chu
Jadwin Hall 111
Speaker: Hahng-Yun Chu,
Chungnam National University & Korea Institute for Advanced Study
November 30, 2017
11:20am - 11:20am
TBA-Joel Moreira
Fine Hall 1001
Speaker: Joel Moreira,
Northwestern University