数十场特邀报告汇聚智慧！业界专家共探偏微分方程与AI发展

Core Insights - The "2025 National Academic Annual Conference on Partial Differential Equations Theory and Application and Operations Research and Artificial Intelligence Academic Forum" was held in Qingyuan, Guangdong, featuring 24 invited reports from experts across numerous universities and research institutions [1][2][3] - The conference focused on the intersection of partial differential equations, operations research, and artificial intelligence, covering topics such as fluid mechanics, plasma physics, biomathematics, geometric analysis, and nonlinear analysis [1][2] Group 1: Key Presentations - Professor Li Fucai from Nanjing University presented on the latest advancements in the dynamical-MHD model, emphasizing its applications in plasma physics [1] - Professor Zhang Ting from Zhejiang University demonstrated the overall existence of strong solutions for the anisotropic Navier-Stokes equations under certain conditions [2] - Researcher Ren Xiao from Fudan University expanded on the geometric characterization of potential singularities in the Navier-Stokes equations [2] Group 2: Advances in Operations Research and AI - Professor Lv Zhaosong from the University of Minnesota introduced first-order methods for bilevel optimization, providing efficient solutions for complex decision-making problems in economics, logistics, and machine learning [2] - Professor Han Derun from Beihang University discussed improved error bounds for linear and tensor complementarity problems, surpassing classical results [2] - Professor Chen Xiaojun from the Hong Kong Polytechnic University showcased optimization methods in proving the existence of spherical t-designs, highlighting the role of optimization theory in driving advancements in artificial intelligence and data science [2] Group 3: Event Organization - The event was organized by the Applied Mathematics Research Center of the Hong Kong Institute for Advanced Study at Sun Yat-sen University, the Mathematics School of Sun Yat-sen University, and the Guangdong-Hong Kong-Macao Applied Mathematics Center, with support from various academic and research associations [3]