学术报告报告题目：Trajectory statistical solutions and Liouville type theorem for evolution equations: Abstract results and applications
报 告 人：赵才地 特聘教授（温州大学）
报告时间：2021年6月17日（星期四）下午3:00~4:00
报告地点：腾讯会议：892 336 371
邀 请 人：李用声教授
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数学学院
2021年6 月16 日
报告摘要：In this talk, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the existence of trajectory statistical solutions for autonomous evolution equations. Then we establish that the constructed trajectory statistical solutions possess invariant property and satisfy a Liouville type equation. Moreover, we reveal that the equation describing the invariant property of the trajectory statistical solutions is a particular situation of the Liouville type equation. Finally, we study the equations of three-dimensional incompressible magneto-micropolar fluids in detail and illustrate how to apply our abstract results to some concrete autonomous evolution equations.
报告人简介：赵才地，温州大学数学一级学科硕士点负责人，特聘教授，浙江省151人才第二层次，先后主持4项国家级和3项省部级自然科学基金，主要研究方向为非线性发展方程与无穷维动力系统，在《J. Differential Equations》、 《Nonlinearity》、《Z. Angew. Math. Phys.》、 《中国科学》等学术期刊上发表论文50余篇，曾获浙江省自然科学三等奖。