应西北师范大学数学与统计学院邀请，温州大学赵才地教授将为我院师生作线上学术报告。
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：2023年10月18日10:00
报告地点：腾讯会议(ID：728 154 430)
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 China：Math》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
数学与统计学院
2023年10月16日
