Lecture | June 5, 2017/ 4:30 p.m. | Room 330 in Nanhai Building

Title: Stability Analysis for Imcompressible Navier-Stokes Equations with Navier Boundary Conditions
Speaker: Professor Ding Shi-jin, SCNU 
Publisher: Science and Technology Research Office

Introduction：In this talk，we are concerned with the stability and instability of the trivial steady state to the imcompressible Navier-Stokes equations with Navier boundary conditions. Our results show that whether this steady state is stable or not depends on the boundary is energy dissipative or not. We get an explicit formula for the critical viscosity which distinguishes the stability from instability.

This critical viscosity depends only on the coefficients in the Navier boundary conditions.

ABOUT DING SHI-JIN
Professor Ding Shijin is a well-known expert in the field of partial differential equations. He mainly studies the partial differential equations in the field of superconducting materials, ferromagnetic materials and liquid crystal materials. He focuses on the existence and regularity of equation solutions. What he researches and how he researches is closely related to Navier-Stokes equation theory and relevant geometric analysis theory such as reconciling the reflected heat flow. It is the hot and cutting-edge issue at present. In recent years, some achievements in superconductive vortex theory, the existence and partial regularity of the ferromagnetic chain equation and the well-posedness of the KdV (KP) equation have been attracted a lot of attention by the domestic and foreign counterparts, and his liquid crystal theory research has also made great progress. So far, he has published more than 60 papers in academic journals at home and abroad, and 2 monographs Self -swirling and Ferromagnetic Chain Equations and Landau-Lifshitz Equations. His five papers were incorporated into monograph Phase Transition Theory and Superconductivity as its ninth chapter by the German mathematician K.-H.HOFFMANN. Since 1999, He has been invited abroad for many times. Since 2000,he has completed two National Natural Science Fund projects and two Guangdong Provincial Natural Science Fund project research, and he has participated in the national 973 Program project: Partial Differential Equations in Fluid Mechanics and  Materials Science of Several Subjects in Mathematics and other fields. Currently, he is hosting a National Natural Science Foundation project, a doctoral fund project of the Ministry of Education and a Guangdong Provincial Natural Science Foundation project, and also participating in a research of new national 973 Program project: Analysis and Control of Infinite Dimension System of A Number of Major Needs on Applied Mathematics Research in Information and Other Relevant Fields.

Free and open to the public.