Speaker
Mark Allen
(Brigham Young University)
Description
We will discuss a parabolic PDE that arises in models for combustion and wildfire. Our main concern is the fire front: how it moves and what shape it can take. In the study of PDEs, the fire front is the free boundary. In this problem, at a fixed time the shape of the fire front can have singularities. However, when the fire front is viewed as a free boundary in space-time, we show that the free boundary is a $C^{1,\alpha}$ manifold. This is joint work with Gilles Bokolo-Tamba.
Authors
Mark Allen
(Brigham Young University)
Gilles Bokolo-Tamba