报告承办单位: 数学与统计学院

报告内容:  Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise

报告人姓名: 黄代文

报告人所在单位: 北京应用物理与计算数学研究所研究员

报告人职称/职务及学术头衔:研究员

报告时间: 2025年12月23日14:00-18:00

腾讯会议号：906-328-891，密码：13579

邀请人：李景

报告摘要: In this talk, we are concerned the stochastic Landau-Lifshitz-Bloch equation driven by the colored noise, evolving in the entire real line. First, the well-posedness of strong solution is established using a domain expansion method. Then, we consider the existence and uniqueness of the pullback random attractors in regularity space H^1. Finally, we prove the upper semi-continuity of the attractors as the noise coefficient $\alpha$ tending to zero. The uniform tail-ends estimates of solutions for overcoming the non-compactness difficulty of Sobolev embedding in unbounded domains and the energy method due to Ball are invoked to establish the asymptotic compactness of solutions.

报告人简介: 黄代文，北京应用物理与计算数学研究所研究员，博生生导师，中国工程物理研究院科技创新奖二等奖获得者（2017年），教育部自然科学二等奖获得者（2015年、2019年）。主持和参加国家自然科学基金项目多项。在《Communicationsin Mathematical Physics》《Journal of functional Analysis》，《Calculus of Variations and Partial Differential Equations》、《Journal of Differential Equations》以及《Mathematical Models and Methods in Applied Sciences》等国际重要数学期刊上发表论文40余篇。