报告人:杨志坚 教授 (郑州大学)
报告题目:Robust attractors for a perturbed non-autonomous extensiblebeam equation with nonlinear nonlocal damping
报告摘要:In this talk, we investigates the attractors and their robustness for a perturbed non-autonomous extensiblebeam equation with nonlinear nonlocal damping. We prove that the related evolution process has a finite dimensionalpullback attractor A_\kappa and a pullback exponential attractor M_{exp}^\kappa for each extensibility parameter \kappa\in[0; 1] , respectively, and both of them are stable on the perturbation \kappa . In particular, these stability holds for the global and exponential attractors when the non-autonomous dynamical system degenerates to an autonomous one, so these results deepen and extend those in recent literatures.
报告人简介:杨志坚,主要研究出自物理、力学和量子力学中的非线性发展方程的适定性及对应的无穷维动力系统的长时间行为。主持国家自然科学基金面上项目3项;在国外SCI期刊《J. .Differential Equations》、《Nonlinearity》、《Discrete Contin. Dyn. Syst.:A》、《Commun. Contemp. Math.》、《Appl. Math. Lett.》、《JMAA》、《Nonlinear Anal.》、《Dynamics of PDE》、《J. Math. Phys.》等发表论文60多篇。
报告时间:11月22日(星期五) 上午8:00-10:00
报告地点:科技楼南楼702