Special Session 10: Recent Developments in Regularity Theory for PDEs

Mixing flow and advection-diffusion equations
Xiaoqian Xu
Duke Kunshan University
Peoples Rep of China
Co-Author(s):    
Abstract:
In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of applications is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief introduction to the idea of mixing flow and examples of such flows. In addition, I will also discuss the un-mixing property of the diffusion process.