报告题目：Least action principles, 2D Euler drops and p-Euler equations
报告摘要：In this talk, we will look at the least action principles of free boundary problems for Euler equations and Euler-Poincare equations, and then derive a new system of equations, called p-Euler equations. Regarding the Euler equations of 2D water drops, we propose a conformal mapping formulation and a filtered Fourier pseudo-spectral method for numerical discretization. For p-Euler equations and p-Navier-Stokes equations, we establish the existence of weak solutions in some cases. This talk is based on some works with Prof. Jian-Guo Liu and Prof. Robert Pego.