报告时间：2024年06月01日（星期六）16:30-17:30

报告地点：翡翠科教楼B座1710

报告人：彭旭辉 副教授

工作单位：湖南师范大学

举办单位：数学学院

报告简介：

We establish the ergodicity for stochastic 2D Navier-Stokes equations driven bya highly degenerate pure jump Levy noise. The noise could appear in as few as four directions. The case of Gaussian noise was treated in Hairer and Mattingly [Ann. of Math., 164(3):993--1032, 2006]. To obtain the uniqueness of invariant measure, we useMalliavin calculus and anticipating stochastic calculus to establish the equi-continuity of the semigroup, the so-called e-property, and prove some weak irreducibility of the solution process.

报告人简介：

彭旭辉，湖南师范大学副教授，2022年入选湖南省湖湘青年英才。主要研究方向为随机分析，在《Journal of the European Mathematical Society》，《Annales de l’Institut Henri Poincar´e Probabilit´es et Statistique》，《Journal of Differential Equations》等期刊上发表论文近20篇。现主持国家自然科学基金面上项目一项。