Core Viewpoint - The article highlights the significant achievement of professors Geng Jun from Lanzhou University and Shen Zhongwei from Westlake University, whose research paper has been accepted by one of the top four mathematics journals, Inventiones Mathematicae, marking a milestone for Lanzhou University in the field of mathematics [2][6]. Group 1: Research Focus - The research centers on the Stokes equation, a fundamental aspect of fluid mechanics, specifically investigating the infinite norm pre-estimation of the Stokes operator in non-smooth regions [3][4]. - The study aims to understand the behavior of fluid motion in irregular boundary spaces, such as natural river channels, rather than smooth pipelines [4][5]. Group 2: Key Breakthroughs - The paper presents two major breakthroughs: 1. It establishes that in three-dimensional and higher spaces with C¹ boundaries, and in two-dimensional spaces with Lipschitz boundaries, the maximum fluid velocity can be estimated based on the maximum external force [11]. 2. It introduces a novel approach using large-scale averaging to address the issue of pressure control, allowing for the estimation of maximum velocity in bounded regions [12]. Group 3: Theoretical and Practical Implications - The research fills a critical gap in the theoretical understanding of the Stokes equation in non-smooth regions, clarifying the applicability of C¹ and Lipschitz boundaries and enhancing the mathematical analysis framework of fluid mechanics [13]. - Practically, the findings provide engineers with more accurate computational tools for real-world fluid scenarios, improving the precision of velocity and pressure estimations in non-smooth boundary conditions [14]. Group 4: Authors' Background - The authors, Geng Jun and Shen Zhongwei, are prominent mathematicians with extensive academic backgrounds, having collaborated on influential papers prior to this achievement [15][20]. - Geng Jun, a professor at Lanzhou University, specializes in harmonic analysis and partial differential equations, while Shen Zhongwei, who recently returned to China, has a distinguished career in mathematics education and research [16][22][23].