在线赌场

“七秩工大，学术领航”——70周年校庆系列学术讲座

报告题目：A Regular Global Attractor with Finite Fractal Dimension for a Three-Dimensional Elastic Model under Critical Perturbation

报 告 人：Marcio A. Jorge Silva

报告时间：2026年5月21日9：00-10：30

报告地点：惟德楼315会议室

报告人简介：

Marcio Antonio Jorge da Silva 博士，巴西隆德里纳州立大学教授、博士生导师。Silva教授于2012年在巴西圣保罗大学-圣卡洛斯分校数学与计算机研究所取得博士学位， 2015年、2022-2023年分别在巴西国家科学计算实验室与巴西利亚大学从事博士后合作研究，2018年被聘为圣保罗大学特聘教授。Silva教授在弹性结构动力学领域取得了一系列具有国际影响力的系统性成果，先后主持巴西联邦基金项目多项，在 Math. Ann.、SIAM J. Math. Anal.、J. Differential Equations、ZAMP、Appl. Math. Optim.、J. Dynam. Differential Equations、Discrete Contin. Dyn. Syst. 等高水平 SCI 期刊发表学术论文 50 余篇，多次应邀在国际学术作报告。

报告简介

In this talk, we address the long-time behavior of a three-dimensional damped Lamé system under the action of a fully coupled vector-valued nonlinearity exhibiting Sobolev-critical growth. In contrast with the existing literature, which predominantly relies on scalar or partially uncoupled structures, we consider the genuinely vectorial critical regime, where the nonlinear interaction couples all components of the displacement field. The main result establishes the existence of a regular compact global attractor with finite fractal dimension, providing a rigorous description of the asymptotic dynamics of the system. The core novelty of the analysis lies in the introduction of a new vector identity, derived from symmetry properties of the first Fréchet derivative and a careful treatment of the second derivative of the nonlinear field, which replaces the classical scalar commutativity tools unavailable in this vector setting. This identity plays a decisive role in proving quasi-stability and asymptotic compactness in the critical regime.

在线赌场排名

2026年5月19日