Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Improved Low Regularity Theory For Gravity-Capillary Waves
In this talk we consider the Cauchy problem for the gravity-capillary water waves system in general dimensions. Previous work by Alazard-Burq-Zuily and de Poyferre-Nguyen have established well-posedness for this system in Sobolev spaces. These works combine dispersive Strichartz estimates with the energy method to establish well-posedness below the classical energy threshold. However, due to the low regularity setting, the Strichartz estimates used exhibit derivative losses. In this talk we will discuss how some refinements to the microlocal analysis yield improvements to the estimates and low regularity theory.
Meeting ID: 998 5718 9855
Passcode: 983468
Link: https://msri.zoom.us/j/99857189855?pwd=LzRFR2tPN1cydWJNZEZkclZGV2lpQT09
No Notes/Supplements Uploaded