Giovanni Paolo Galdi
University of Pittsburgh

Abstract: The motion of a (finite) rigid body, $\mathfrak{B}$, in a viscous liquid is a fundamental and widely investigated problem of mathematical fluid mechanics, in both cases when the motion of $\mathfrak{B}$ is prescribed or it becomes part of the problem. However, in spite of the many outstanding contributions tracing back to the works of Leray, Ladyzhenskaya and Finn, there is still a plethora of fundamental questions that remain still unanswered and call for the attention of the interested mathematician. Objective of this talk is to present and discuss three of them, which I believe to be among the most remarkable and intriguing ones.