Short Programme on Incompressible Fluid Dynamics Equations
The most important subject of the three-dimensional incompressible Navier-Stokes equation is the existence and uniqueness of the global solution of the initial function with finite smooth energy. Except that Navier-Stokes equation has its distinctive physical background, the corresponding nonlinear term has a good structure, the known invariants is not sufficient to overcome the singularity arising from the high-frequency interaction, it is more difficult to control the behavior of Navier-Stokes equation at fine scale than coarse scale, and the supercritical makes it impossible to control the nonlinear interaction on fine scale. Even for Navier-Stokes equations with axisymmetric rotation, the problem is still open, the study of this problem and other related problems will promote the development of study for differential equations.
The Hua Loo-keng Center for Mathematical Science plans to hold seminars on incompressible fluid dynamics in 2017. The person responsible for the event are professor Zhang Ping, Zhang Liqun and Xin Zhouping.