Regularity results for a class of penalized boundary obstacle problem (in person)

Friday, October 15, 2021 - 11:00am to 12:00pm
Location: 
WXLR A113

Speaker

Donatella Danielli
School Director and Professor
School of Mathematical and Statistical Sciences
Arizona State University

Abstract

In this talk we will discuss a class of two-penalty boundary obstacle problem of interest in thermics and fluid dynamics. Our goal is to establish existence, uniqueness, and optimal regularity of the solutions, as well as structural properties of the free boundary. The study hinges on the monotone character of a perturbed frequency function of Almgren's type, and the analysis of the associated blow-ups. These results are obtained in a series of papers joint with Rohit Jain, Brian Krummel, and Roberto Ognibene.

Description

Partial Differential Equations Seminar
Friday, October 15, 2021
11:00 AM - 12:00 PM
WXLR A113

The talk will be live and in-person, but we will also broadcast it live over Zoom for those of you who are unable to attend physically.  Here is the link: https://asu.zoom.us/j/4159122816 . 

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