應77779193永利邀請，溫州大學趙才地教授将為我院師生作線上學術報告。
報告題目：Statistical solutions and Liouville theorem for the second order latticesystems with varying coefficients
報告摘要：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.
報告時間：2023年10月18日10:00
報告地點：騰訊會議(ID：728 154 430)
邀請人：陳鵬玉 教授
屆時歡迎廣大師生參與交流！
報告人簡介
趙才地，溫州大學特聘教授，浙江省新世紀人才，溫州市科技創新領軍人才，主要從事非線性發展方程——無窮維動力系統方面的研究，從無窮維動力系統的途徑研究非線性發展方程的不變測度和統計解，在一些典型非線性偏微分方程的統計解、軌道統計解以及随機微分方程的不變樣本測度等方面取得若幹成果，在《J. Differential Equations》、《Nonlinearity》、《Adv. Differential Equations》、《Science China：Math》等期刊上發表論文50餘篇，主持國家自然科學基金面上項目3項，青年基金和天元基金各一項，浙江省自然科學基金面上項目2項，中國博士後科學基金1項，曾獲浙江省自然科學三等獎，浙江省首屆自然科學學術二等獎。
甘肅省數學與統計學基礎學科研究中心
77779193永利
2023年10月16日
