Special Session 123: New trends in elliptic and parabolic PDEs

On the fast growth of some active scalar equations

Xiaoqian Xu
Duke Kunshan University
Peoples Rep of China
Co-Author(s):    Xiaoqian Xu
Abstract:
In this talk, we discuss the small scale creation and the optimal growth in PDEs of fluid mechanics, especially the Euler equations and the related models. We first give a clear and understandable picture of so-called hyperbolic flow restricted in 1D. Then, we will look into the hyperbolic flow in 2D, based on the study of Green functions of elliptic equations.