报告人：赵才地 教授（温州大学）

报告题目：Regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations

报告摘要：We first prove the existence and regularity of the trajectory attractor for a three-dimensional system of globally modified Navier-Stokes equations. Then we use the natural translation semigroup and trajectory attractor to construct the trajectory statistical solutions in the trajectory space. In our construction the trajectory statistical solution is an invariant Borel probability measure, which is supported by the trajectory attractor and is invariant under the action of the translation semigroup. As a byproduct of the regularity of the trajectory attractor, we obtain the asymptotic regularity of the trajectory statistical solution in the sense that it is supported by a set in the trajectory space in which all weak solutions are in fact strong solutions.

报告人简介：赵才地，温州大学数理学院教授，在《J Differential Equations》，《Nonlinearity》， 《J. Math. Fluids Mech.》, 《J Evolution Equations》，《 Quarterly Appl. Math.》, 《Discrete Cont. Dyn. Syst.》,《J. Math. Phys.》, 《中国科学》、《数学学报》等国内外主流数学期刊上发表专业文论文 60 余篇, 其中 SCI收录50余篇。

报告时间：2019年11月21日（星期四）上午11:30—13:30      

报告地点：科技楼南楼602室