云亭数学讲坛2023第49讲——赵才地教授

文章来源:皇冠正规娱乐平台发布日期:2023-10-16浏览次数:316

 应皇冠正规娱乐平台邀请,温州大学赵才地教授将皇冠正规娱乐平台师生线上学术报告。

报告题目:Statistical solutions and Liouville theorem for the second order latticesystems with varying coefficients

报告摘要:In this talk, we first introduce the backgrounds and motivations concerning the invariant measures and statistical solutions. Then we verify the global well-posedness of the secondorder lattice systems with varying coefficients, and prove that thesolution mappings form a continuous process on the time-dependent phasespaces and that the process has a time-dependent pullback attractor. Afterwards,we establish that there exists a family of Borel probability measures carriedby the time-dependent pullback attractor which possesses invariant propertyunder the action of the process. Further, we formulate the definition ofstatistical solution for the addressed evolution equations on time-dependentphase spaces and prove its existence.Finally, we reveal that the statisticalsolution of the second order lattice systems with varying coefficientssatisfies the Liouville theorem in Statistical Mechanics.

报告时间:2023101810:00

报告地点:腾讯会议(ID728 154 430)

邀请人:陈鹏玉 教授

届时欢迎广大师生参与交流!

报告人简介

赵才地,温州大学特聘教授,浙江省新世纪人才,温州市科技创新领军人才,主要从事非线性发展方程——无穷维动力系统方面的研究,从无穷维动力系统的途径研究非线性发展方程的不变测度和统计解,在一些典型非线性偏微分方程的统计解、轨道统计解以及随机微分方程的不变样本测度等方面取得若干成果,在《J. Differential Equations》、《Nonlinearity》、《Adv. Differential Equations》、《Science ChinaMath》等期刊上发表论文50余篇,主持国家自然科学基金面上项目3项,青年基金和天元基金各一项,浙江省自然科学基金面上项目2项,中国博士后科学基金1项,曾获浙江省自然科学三等奖,浙江省首届自然科学学术二等奖。


甘肃省数学与统计学基础学科研究中心

皇冠正规娱乐平台

20231016




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