Speaker
Ulisse Stefanelli
(Unviersity of Vienna)
Description
I will present some existence result for a mathematical model of accretive growth in confined environments. Accretive growth occurs ubiquitously in most biological systems, as well as in many natural and technological ones. The model describes the growth process through a level-set formulation, leading to a free-boundary problem combined with a stationary Hamilton-Jacobi equation in a prescribed constraining domain. I will discuss existence, variational characterization, and regularity properties for the growth subproblem, as well as existence for the fully coupled system obtained by combining the growth dynamics with an elliptic equation for the activation field.
Author
Ulisse Stefanelli
(Unviersity of Vienna)