报告题目：Functional Distribution of Multimodal Diffusion: Multiscale Modeling and Computation

报告人：邓伟华教授 兰州大学

报告时间：2021年11月5日14:30-17:30

报告地点：腾讯会议318 225 646

报告摘要：It has been widely recognized that anomalous diffusion is a very general phenomenon in the natural world, which is characterized by the nonlinear evolution of mean-squared displacement with respect to time, i.e., \left\langle x^{2}(t) \right\rangle \propto t^{\beta} with \beta \neq 1. The common examples are \beta < 1 for a subdiffusive continuous-time random walk with a divergent first moment of waiting time and \beta > 1 for a Lévy flight with a divergent second moment of jump length. The common feature of the two typical anomalous diffusive processes is theirsingle mode of the motions. However, a particle moving in a complex or even seemingly simple structures might presentsimultaneous modes,such as the tracing particle under the effect of a flow acting in the phase space of chaotic Hamiltonian systems.

Functional is a class of statistical observables, having wide applications in almost all disciplines. This talk will discuss the multiscale modeling and computation of functional distribution for diffusion with multiple modes and their stochastic representation.

报告人简介：邓伟华，教授，博士生导师，兰州大学数学与统计学院副院长、计算数学研究所所长。主要研究领域：1、反常与非遍历扩散、幂律衰减的波传播：模型、理论、 算法及应用；2、随机模型、理论、算法及应用。在上述领域取得一系列杰出研究成果，论文发表在SIAM J. Numer. Anal.、Math. Comp.、Numer. Math.、SIAM J. Sci. Comput.、SIAM J. Math. Anal.、Phys. Rev. E等国际权威期刊。获教育部自然科学二等奖（反常与非遍历动力学多尺度模型及算法），教育部新世纪优秀人才，甘肃省领军人才，中国工业与应用数学会第八届常务理事，中国数学会计算数学分会第十届常务理事；获霍英东教育基金会高等院校青年教师奖，获飞天学者“青年学者”称号，以及中国计算数学会青年创新奖提名奖。任《Numerical Mathematics: Theory, Methods and Applications》和《Journal of Computational Mathematics and Data Science》Associate Editor，《Computer and Mathematics with Applications》和《高等学校计算数学学报》等刊物Editorial Board Member。