A brief overview of methods and results for localized patterns and narrow escape problems

Speaker: Justin Tzou

Date: 2021

Location: UBC, Vancouver, Canada, Online

Conference: PIMS Workshop on New Trends in Localized Patterns in PDES

Subject: Mathematics

Class: Scientific

Abstract:

We will give a brief overview of results in localized pattern formation and narrow escape problems that have been achieved through hybrid asymptotic-numerical methods. We will then briefly discuss how we have used these methods to extend results to surfaces with variable curvature.