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.