Seminario EDP UAM-ICMAT
A parabolic free boundary problem arising from the jump of conductivity
Ponente: María Soria Carro (UAM)Fecha: viernes 19 de septiembre de 2025 - 11:00Lugar: Aula Gris 1, ICMAT
Resumen:
We will introduce a parabolic free boundary problem motivated by the jump of conductivity in composite materials that undergo a phase transition. Our main goal is to establish regularity properties of both the solution and the free boundary (the transition surface). First, we will see that, in the parabolic setting, solutions are not necessarily Lipschitz due to the anisotropic nature of the problem. Then, we will show that flat free boundaries are smooth, by adapting the nice geometric techniques introduced by Daniela De Silva (2011) to our context. This is a joint work with Dennis Kriventsov (Rutgers University).
