报告一题目：On the free boundary problem of  3-D incompressible Euler equations

报告人：Zhang Ping

报告时间：2008年3月24日（星期一）下午3：30~4：30

Abstract:

In this paper, we consider in 3-D the motion of a general inviscid, incompressible fluid with a free interface which separates the fluid region from the vacuum. We assume that the fluid region is below the vacuum and there is no surface tension on the free surface. Then we prove the local wellposedness of the free boundary problem in Sobolev space provided that there is no
self-intersection point on the initial surface and under the stability assumption that $/frac{/p p}{/p {/n}}(/xi)|_{t=0}/leq -2c_0<0$ with $/xi$ being restricted to the initial surface.

报告二题目：On global regularity of the 3D incompressible Navier-Stokes equations

报告人：雷震

报告时间：2008年3月24日（星期一）下午4：30~5：30

Abstract：The Navier-Stokes equations are the fundamental partial differentials equations that describe the flow of incompressible fluids. Its global regularity in 3D is a Clay Millennium Prize problem and of course important for analysts and phisicans because of its possible relationship to turbulence. In this talk, we will give a brief review of known analytic results on 3D Navier-Stokes equations and discuss the classical successful techniques and trategies that analysts used. Then we will discuss some current standpoints and our belief and related works.

报告地点：光华东主楼1801室