The analysis of partial differential equations from mathematical physics is always one of main stream in the study of PDE. The goal of this program is going to invite several top mathematicians to give series of lectures on the related topics, especially, on the analysis of PDE from incompressible fluid mechanics, for instance, incompressible Navier-Stokes equations, incompressible inhomogeneous Navier-Stokes equations and so on. We suppose every invited speaker give a mini-course for about 4 2-hours’ lectures.