應學院邀請，鄭州大學楊志堅教授将作線上學術報告。
報告題目：Exponential attractor for the viscoelastic wave model with time-dependent memory kernels
報告摘要：In this talk, we are concerned with the exponential attractors for the viscoelastic wave model with time-dependent memory kernel which is used to model aging phenomena of the material. Conti et al (Am J Math 140(2): 349-389, 2018a; Am J Math 140(6): 1687-1729, 2018b) recently provided the correct mathematical setting for the model and a well-posedness result within the novel theory of dynamical systems acting on time-dependent spaces, recently established by Conti, Pata and Temam (J Differ Equ 255: 1254-1277, 2013), and proved the existence and the regularity of the time-dependent global attractor. In this work, we further study the existence of the time-dependent exponential attractors as well as their regularity. We establish an abstract existence criterion via quasi-stability method introduced originally by Chueshov and Lasiecka (J Dyn Differ Equ 16: 469-512, 2004), and on the basis of the theory and technique developed in (2018a, b) we further provide a new method to overcome the difficulty of the lack of further regularity to show the existence of the time-dependent exponential attractor. And these techniques can be used to tackle other hyperbolic models.
報告時間：2022年7月8日下午2:30
報告地點：騰訊會議号234170179
邀 請 人：馬巧珍 教授
屆時歡迎廣大師生參與交流！
報告人簡介
楊志堅，鄭州大學理學博士，日本九州大學數理學博士，鄭州大學2級教授，博士生導師，河南省跨世紀學術技術帶頭人, 美國 《Mathematical Reviews》評論員，《Journal of Partial DifferentialEquations》期刊編委。主要研究非線性發展方程的整體适定性及對應的無窮維耗散動力系統的長時間動力學行為。主持完成4項國家自然科學基金面上項目；已在《J. Differential Equations》、《Nonlinearity》、《Commun. Contemp. Math.》、《J. Dyn. Differ. Equ.》、《Discrete Contin. Dyn. Syst.》等國内外SCI期刊上發表研究論文90篇。獲得河南省科技進步二等獎1項。
