2 papers
math.AP2025
Regularity of the free boundary in an unstable parabolic problem
Mark Allen, Gilles Bokolo-Tamba
We study the free boundary in an unstable parabolic problem arising from a model in combustion. We consider the physical situation in which the heat advances and prove that the fre…
math.AP2017
A free boundary problem on three-dimensional cones
Mark Allen
We consider a free boundary problem on cones depending on a parameter c and study when the free boundary is allowed to pass through the vertex of the cone. We show that when the co…