The well-posedness problem of Navier-Stokes equations
蘇承芳小姐國立中央大學數學系 下午 4:00–5:00 鴻經館 107 室Abstract：
In this talk, we establish the existence of a solution to the 3-dimensional Navier-Stokes equations interacting with elastic shell on a moving domain. First, I will introduce the ALE formulation which transform our moving domain into a fixed domain. The method is very useful for the free boundary problem. Second, I will explain how the solution is constructed in an optimal sobolev space and explain the difficulties of our study. Finally, we can compare two kinds of well-posedness problems of Navier-Stokes equations: interacting with elastic shell and with the surface tension.