Obstacle problems and free boundaries

Supervisor , Raj Narayan Dhara, Ph.D.
Name Obstacle problems and free boundaries
Type Master
Status Not assigned

By a 'free boundary problem' we mean a boundary value problem described by partial differential equations (PDEs) that exhibit a priori unknown (free) interfaces or boundaries. In order to solve a free boundary problem, we have to provide a boundary condition which is imposed at the free boundary. One can then determine both the free boundary and the solution of the differential equation.

  The theory FBPs, have been stimulated by the increased number of mathematical models to understand a vast of actual problems in physics (plasma physics, solidification), chemistry (chemical vapor deposition), finance (American option), biology (tissue growth), industrial processes such as electro photography and other areas. The mathematical and relevant literature of this field is enormous.