Abstract

We first present the existing and some new well-posedness theories of the classical Prandtl operator in various function spaces. And then we will consider the same problem for MHD system to show the stabilizing effect of the magnetic field in different setting.

Tong Yang received his PhD degree in 1993 from the University of California, Davis. After one-year post-doctoral fellowship at the   Institute for Advanced Study in Princeton, he joined the City University of Hong Kong in 1994 and was promoted to Chair professor of Mathematics in 2007. He has also been a visiting chair professor at Shanghai Jiao Tong University.

The awards and honors that he has received include the Fellow of the European Academy of Sciences in 2018, the State Natural Science Award (2nd class) of China in 2012, the Croucher Senior Research Fellowship in 2011, the Changjiang Chair Professorship by the Ministry of Education of China in 2005, and the Morningside Silver Medal of Mathematics by ICCM in 1998.

He works in partial differential equations and kinetic theories. He has made contributions to hyperbolic conservation laws by introducing the Liu-Yang functional with Professor Tai-Ping Liu, fluid dynamic phenomena in kinetic models, boundary layer theories and high Reynolds number limit. He authored more than 170 papers in refereed journals. He served as co-editor-in-chief of Analysis and Applications (2013-17) and is one of the founding co-editors-in-chief of Kinetic and Related Models in 2008, and sits in the editorial board of three other academic journals. He has been the President of Hong Kong Mathematical Society since 2016.