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： Global Attractors for the Subquintic Energy-Damped Wave Equation

报 告 人： Vando Narciso

报告时间：2026年5月21日 10：30-12：00

报告地点：惟德楼315会议室

报告人简介：Vando Narciso博士，巴西南马托格罗索州立大学教授、博士生导师。Vando Narciso教授于2010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，2014-2015年在巴西隆德瑞纳联邦州立大学从事博士后合作研究。Vando Narciso教授在具非局部耗散结构的双曲型演化方程领域取得了一系列具有国际影响力的成果，先后主持巴西联邦基金项目3项，在Math. Ann., JDE, ZAMP，ZAMM，AMO，JDDE，DCDS等高水平SCI期刊发表学术论文40余篇，多次应邀在国际学术作报告。

报告简介

In this talk, we consider a wave equation in a bounded three-dimensional domain under the action of a dissipative mechanism whose intensity depends on the linear energy of the system, together with a source term of subquintic growth. We establish the existence and uniqueness of global Shatah–Struwe solutions in the weak phase space by means of the Galerkin method combined with Strichartz estimates for bounded domains. The main result concerns the existence of a compact global attractor ��, which coincides with its unstable manifold Mᵘ. This is achieved by proving that the associated dynamical system () is gradient, dissipative and asymptotically smooth. Finally, in the case where the nonlocal damping coefficient is non-degenerate, we show that the system is quasi-stable, which implies that the global attractor has finite dimension, enjoys additional regularity, and that a generalized exponential attractor exists.

在线赌场排名

2026年5月19日