中科院数学与系统科学研究院

数学研究所

调和分析及其应用中心

学术报告会

报告人：Prof. Hantaek Bae （Ulsan National Institute of Science and Technology） 

题  目：Regularity and decay properties of the incompressible Navier -Stokes equations

时  间：2017.06.01（星期四），16:20-17:20

地  点：晨兴410室

Abstarct: In this talk, I will consider the incompressible Navier-Stokes equations in the mild solution setting. Using this setting, I will show how to obtain analyticity of mild solutions using the Gevrey regularity technique. This regularity also enables to get decay rates of weak solutions. I will also show that this idea can be applied to other dissipative equations with analytic nonlinearities. I will finally consider the regularity of the flow map of mild solutions using the Log-Lipschitz regularity of the velocity field.