Speaker：Professor G. Seregin (University of Oxford)

Abstract:It will be explained how the problem of local regularity of suitable weak solutions to the Navier-Stokes equations can be reduced to the time decay of certain Lebesgue norms of solutions to the Stokes problem with a drift. The corresponding drift appears as the result of the rescaling of the original suitable weak solution around a potential singularity. Some interesting cases related to potential Type I singularities are going to be discussed.

Time：

December 15th   15:00-17:00                                    

December 16th   15:00-17:00

Venue：Lecture Hall, 1st Floor, School of Mathematics and Statistics

Speaker Introduction:Professor G. Seregin graduated from the Leningrad Polytechnical Institute in 1979, now known as the Saint Petersburg State Polytechnical University, and continued to teach at the University after receiving his doctorate. Professor Seregin's research focuses on the mathematical theory of elasticity and fluid mechanics and has produced a number of internationally significant results. Since 2000, he has been the head of the Laboratory of Mathematical Physics, St. Petersburg Department of V.A. Steklov Mathematical Institute. In addition to the previous position, he also became a professor at the University of Oxford in 2007. Furthermore, he received the Sophja Kovalevskaya Prize from the Russian Academy of Sciences in 2003, and was invited to give a plenary talk at the International Congress of Mathematics in 2010.