报告题目：Global Well-Posedness of Solutions for the Debye-Hückel System and Magneto-Micropolar Equations
报 告 人：孙小春
工作单位：西北师范大学数学与统计学院
报告时间：2026-10-24 10:00-12:00；
报告地点：数信学院305
报告摘要：
This report first addresses the global well-posedness and asymptotic stability of self-similar solutions for the Debye-Hückel(DH) system in Fourier-Besov-Morrey spaces. Inspired by homogeneous Fourier-Besov spaces, we introduce a new, larger space under the same scaling invariance. Using key analytical tools, we establish critical estimates via a fixed-point theorem and prove the existence of global mild solutions (Lipschitz map) with small initial data, as well as self-similar solutions with homogeneous initial data of degree −2. Regarding asymptotic stability, we clarify the equivalence between the limit behaviors of the electron-hole density difference and the initial-data difference under the heat-flow operator. Subsequently, we present the global well-posedness and decay of solutions to the three-dimensional fractional anisotropic magneto-micropolar fluid system. We also present the existence and uniqueness of asymptotically almost periodic mild solutions for magneto-micropolar fluid equations on real hyperbolic manifolds.
报告人简介：
孙小春，西北师范大学数学与统计学院党委书记，教授，博士生导师，北京师范大学基础数学专业理学博士，中国数学会数学教育分会常务理事、甘肃省数学会常务理事，甘肃省教育学会中学数学教学专业委员会副理事长。主要研究调和分析中 Littlewood - Paley 理论，时频分析理论，位势理论以及流体动力学的相关问题。在《 SCIENCE CHINA Mathematics 》《 Journal of Evolution Equations 》《Journal of Geometric Analysis》《Mathematical Methods in the Applied Sciences 》《 Frontiers of Mathematics 》等国内外学术期刊发表相关研究论文40余篇。主讲的《数学分析》课程获批国家首批一流本科线下课程，获“甘肃省第三届高校青年教师教学大赛”二等奖，甘肃省首届高校教师教学创新大赛二等奖等，主持国家自然科学基金2项，获甘肃省高校科技进步奖二等奖，甘肃省高等教育教学成果特等奖，西北师范大学优秀教师称号，甘肃省技术标兵称号，全国明德教师奖等。
