Skip to Main Content

From Desgaperis-Procesi peakons to Hermite-Pade approximants and beyond by Dr. Sergio Medina Peralta.

This is a past event.

Thursday, October 14, 2021 at 3:45pm to 4:45pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199


One of the most interesting questions in fluid theory is to describe the emergence of non- smooth waves and the mechanism responsible for the breakdown of regularity. In the last decades several models were proposed of non-smooth waves with integrable structure, the best known of which are Camassa-Holm and Degasperis-Processi equations. These equations possess stable non-smooth solutions, called peakons which, to a large extent, determine the essential properties of solutions, in particular the breakdown of regularity and the onset of shocks (DP).

Dr. Sergio Medina Peralta will begin with a partial differential equation, due to the interest of this topic in the department and will make the connection with approximation theory, which is principal field of his research activity. Hence, we will begin a trip from these peakons solutions of the Degasperis-Processi equations to the Hermite-Pad ģe approximants. We will focus our attention in this last object, but we will visit other places such as inverse string problems, multiple orthogonal polynomials, Cauchy biorthogonal polynomials, random matrices models and Riemann-Hilbert problems.

Join Zoom Meeting

Meeting ID: 931 7090 7458

Passcode: FIU2021

Event Type

Academics, Lectures & conferences


Students, Faculty & Staff



College of Arts, Sciences & Education, Department of Mathematics and Statistics
Add to Calendar
Google Calendar iCal Outlook

Recent Activity

Statement of Free Expression

FIU endorses the Florida Board of Governors' Statement of Free Expression to support and encourage full and open discourse and the robust exchange of ideas and perspectives on our campuses. In addition to supporting this legal right, we view this as an integral part of our ability to deliver a high-quality academic experience for our students, engage in meaningful and productive research, and provide valuable public service. This includes fostering civil and open dialogue in support of critical thinking in and out of the classroom, including events hosted by the university.