中科院数学与系统科学研究院
华罗庚数学科学中心
学术报告
报告人：Prof. Jiahong Wu （Oklahoma State University）
题 目：The 3D Navier-Stokes and Boussinesq equations with partial hyperdissipation
时 间：2017.07.10（星期一），09:30-11:30
地 点：数学院南楼N913室
摘 要：The classical result states that the 3D incompressible Navier-Stokes equations with the hyperdissipation $(-\Delta)^\alpha$ for $\alpha\ge 5/4$ always have a global classical solution. T. Tao further reduces this hyperdissipation by a logarithm. This lecture presents a recent work that proves the global existence and uniqueness of $H^1$ solutions for the 3D Navier-Stokes equations with only partial hyperdissipation. A global regularity result for the 3D Boussinesq equations with partial hyperdissipation will also be presented.
