Speakers

View Full Calendar

Harmonic Analysis and Differential Equations Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 143
Date
Feb 20, 2024   1:00 pm  
Speaker
Blake Barker
Contact
Carrie Clark
E-Mail
carriec2@illinois.edu
Views
36
Originating Calendar
Harmonic Analysis and Differential Equations Seminar (HADES)

Speaker: Blake Barker (Brigham Young University)

Title: Stability of sharp fronts: computer assisted methods of proof

Abstract: Using a combination of analytic and computer assisted methods of proof, we prove stability of traveling front solutions to the KdV-Burgers equation. The methods apply much more generally. In this talk we focus on the rigorous computations involved in the computer assisted methods of proof. We use a Newton-Kantorovich argument and the parametrization method to rigorously enclose the traveling wave profile and the Riccati equation. We use analytic interpolation of the ODE series solution coefficients in order to establish the result for values of the dispersion parameter ranging over an interval.

link for robots only