Seminar on Partial Differential Equations

Fluid flows have been studied for a long  time, with a view to understand better the models like channel flow, blood flow, air flow in the lungs etc. Here we focus on  time periodic fluid flow models. Local stabilization here concerns the decay of the perturbation in the flow near a periodic trajectory. The main motivating example is the incompressible Navier-Stokes system. I will discuss the general framework to study periodic solutions and then indicate some results in this direction.