应兰州大学数学与统计学院杨璐教授与李新华副教授邀请,美国新墨西哥理工大学数学系王碧祥教授将于将于2025年6月14日至19日访问兰州大学,并于2025年6月16日进行学术报告,欢迎广大师生参加。
报告题目:Martingale Solutions of Fractional Stochastic Equations Driven by Superlinear Noise
报告时间:2025年06月16日(星期一)10:00
报告地点:理工楼631报告厅
报告摘要:
In this talk, we first prove the existence of martingale solutions of an abstract stochasticequation with a monotone drift and a superlinear diffusion term. Both the nonlinear drift anddiffusion terms are continuous but not necessarily locally Lipschitz continuous. We then applythe abstract result to establish the existence of martingale solutions of the fractional stochasticreaction-diffusion equation with a polynomial drift of any order driven by a superlinear noise.The pseudo-monotonicity techniques and theSkorokhodJakubowski representation theorem ina topological space are used to pass to the limit of a sequence of approximate solutions definedby the Galerkin method.
欢迎广大师生届时参加!
报告人简介
王碧祥教授于兰州大学获理学学士、硕士与博士学位,现任美国新墨西哥理工大学数学系教授与博士生导师。王碧祥教授主要从事确定与随机动力系统和非线性偏微分方程理论与应用等领域的研究,目前已发表SCI论文150篇,研究成果主要发表于《Mathematische Annalen》,《Transactions of the American Mathematical Society》,《Journal of Functional Analysis》,《SIAM Journal on Applied Dynamical Systems》,《Proceedings of the American Mathematical Society》,《Journal of Differential Equations》,《Science China Mathematics》,《Stochastic Processes and their Applications》,《Nonlinearity》,《Physica D: Nonlinear Phenomena》,《Journal of Dynamics and Differential Equations》等多个国际数学刊物上。研究成果已被国际同行引用6000余次(谷歌学术)。
数学与统计学院
甘肃应用数学中心
萃英学院
2025年06月12日