PDE Seminar Abstracts

An Inverse problem for the convection-diffusion equation

Valter Pohjola
Stockholm University, Sweden
Tuesday 10 March 2015, 2-3pm, Carslaw Room 829 (AGR)

Abstract

The steady state convection-diffusion equation can be used as a time independent model for transport phenomena in a fluid due to a diffusion process and convection caused by the motion of the fluid.

In this talk we consider an inverse problem related to the convection-diffusion equation. This problem has a close relation to other inverse problems for elliptic PDE’s, such as the Calderon problem. We will discuss the unique determination of the velocity field from boundary measurements and a regularity result related to this. We will also review some basic ideas used in proving uniqueness results of this type.