2 papers
math.AP2025
An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
Dennis Kriventsov, María Soria-Carro
We consider an elliptic-parabolic free boundary problem that models the fluid flow through a partially saturated porous medium. The free boundary arises as the interface separating…
math.AP2024
A parabolic free transmission problem: flat free boundaries are smooth
Dennis Kriventsov, María Soria-Carro
We study a two-phase parabolic free boundary problem motivated by the jump of conductivity in composite materials that undergo a phase transition. Each phase is governed by a heat…