Spring 2025 Analysis Seminar

Organizers: Shengwen Gan, Terry Harris and Andreas Seeger

Emails:

• Shengwen Gan: sgan7 at math dot wisc dot edu
• Terry Harris: tlharris4 at math dot wisc dot edu
• Andreas Seeger: seeger at math dot wisc dot edu

Time and Room: Wed 3:30--4:30 Van Vleck B119.

In some cases the seminar may be scheduled at different time to accommodate speakers.

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Links to previous seminars

Date	Speaker	Institution	Title	Host(s)	Notes (e.g. unusual room/day/time)
We, Jan.29	Thierry Laurens	UW	A priori estimates for generalized KdV equations in H^{-1}	Andreas
We, Feb 5	Sergey Denisov	UW
We, Feb 12	Dallas Albritton	UW		Andreas
We, Feb 19	Xiaojun Huang	Rutgers University		Xianghong
We, Feb 26	Galia Dafni (tent.)	Concordia University		Andreas and Betsy
We, Mar 5	Manik Dhar	MIT		Terry
We, Mar 12	Brian Simanek	Baylor University		Sergey
We, Mar 19	Shengwen Gan	UW Madison
We, Mar 26, no seminar
We, Apr 2	Robert Schippa	UC Berkeley		Andreas
We, Apr 9
We, Apr 16
We, Apr 23	Liding Yao	Ohio State University		Xianghong
We, Apr 30

Abstracts

Thierry Laurens

Title: A priori estimates for generalized KdV equations in H^{-1}

Abstract: We will discuss local-in-time a priori estimates in H^{-1} for a family of generalized KdV equations on the line. This is the first estimate for any non-integrable perturbation of KdV that matches the regularity of the sharp well-posedness theory for KdV. In particular, our analysis applies to models for long waves in a shallow channel of water with a variable bottom. This is joint work with Mihaela Ifrim.