The Department of Mathematics and Statistics at The Catholic University of America hosts a weekly seminar in Functional Analysis and Related Areas. Attendance is open to all interested members of the mathematics community, including students and faculty from other colleges and universities. See below for the title and an abstract of the upcoming presentation.
Visit our seminar archive for a list of past seminar speakers and their talks, with links to their abstracts.
Fall, 2025
THE CATHOLIC UNIVERSITY OF AMERICA
Washington, DC 20064
SEMINAR IN FUNCTIONAL ANALYSIS
AND RELATED AREAS
Wednesday, December 3, 2025
5:15 p.m. - 6:15 p.m. (including a coffee break)
SPEAKER : Thomas Aldredge
The Catholic University of America
TITLE: The Effect of Dispersive Scaling on Bourgain-type Bilinear Estimates for the Korteweg-de Vries Equation
ABSTRACT: This work considers a famous problem first addressed by P. Lax and C. Levermore, which looks at the convergence of solutions to an ε-scaled Korteweg-de Vries (KdV) equation as ε tends to 0. Lax-Levermore proved that the corresponding solution converges weakly as the dispersion term vanishes. We reexamine this problem in the context of Bourgain spaces and discover an interesting phenomenon regarding the Bilinear estimate which obstructs the convergence in a stronger sense.
This presentation constitutes the defense of a Master’s Thesis.
PLACE: Aquinas Hall, Room 108. The talk will also be held on Zoom from 5:15 p.m. to 6:15 p.m. (ET). See the information about the corresponding link below.
ORGANIZERS: V. Bogdan (The Catholic University of America), P. Kainen (Georgetown University), R. Kalpathy (The Catholic University of America), and A. Levin (The Catholic University of America).
Tel: 202-319-5221 E-mail:levin@cua.edu
Web page: https://mathematics.
The talk will be on Zoom as well (from 5:15 p.m. to 6:15 p.m. ET). The following is the information about the corresponding link.
| Meeting Topic: | SEMINAR IN FUNCTIONAL ANALYSIS AND RELATED AREAS |
| Meeting Time: | Wednesdays 05:15 PM Eastern Time (US and Canada) During the Fall and Spring Semesters |
| Zoom link: | https://cua.zoom.us/s/ |
| Meeting ID: | 926 6143 7403 |