Mathematics PDE Seminar Series: Thialita Nascimento, On the geometry of diffusion
Date: Tuesday, December 3, 2024, 1-2 pm ET
Speaker: Thialita Nascimento (Iowa State University)
https://wayne-edu.zoom.us/j/99210289207?pwd=NFMvazN4WnZxWEpOQXQ5MXFlYlhLUT09
Title: On the geometry of diffusion
Abstract: In this talk, we explore a new geometric approach in the analysis of diffusive partial differential equations (PDEs). This new approach has its roots in the theory of minimal surfaces and, more generally, free boundary problems. Thus, the geometric insights behind the idea of diffusion give a powerful toolbox to analyze diffusive elliptic equations, in which degenerate points of ellipticity are seen as "non- physical" free boundary points.