Inverse Problems for Fluid Flows with a Moving Boundary

We consider the classical Hele-Shaw model, describing the flow of an incompressible Newtonian fluid in a gap between two parallel plates. We prove that any compact smooth family {D(t)} of domains in R2 with analytic boundaries can be obtained from D(0) by action of sources/sinks continuously distributed along closed curves. In the case of the zero-surface… CONTINUE READING