DMS Applied and Computational Mathematics Seminar

Time: Oct 21, 2022 (02:00 PM)
Location: 328 Parker Hall ZOOM



Speaker: Raymond Chu, UCLA

Title: Stiffness Limit of Porous Medium Type Equations
Abstract: The Porous Medium Equation (PME) is a PDE that is used to model biological aggregation, population dynamics, crowd motion, and tumor growth. The PME model represents the tumor as an evolving density function, while some models of tumor growth represent the tumor as an evolving region. By the stiffness limit, we can bridge these two types of models.
In this talk we will discuss the PME and Hele-Shaw flow. Then we introduce our work that generalizes the classical stiffness limit by allowing the limiting density to be bounded above by a spatial and time varying upper bound.
Faculty host: Paul Zhang