Dynamical low-rank methods for solving high-dimensional collisional kinetic equations

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:Jingwei Hu(美国华盛顿大学)
:2022-04-01 17:00
:腾讯会议ID:650687073(无密码)

报告人:Jingwei Hu(美国华盛顿大学)

时  间:41日下午17:00

地  点:腾讯会议ID650687073(无密码)

内容摘要:

Kinetic equations describe the nonlinear equilibrium dynamics of a complex system using a probability density function. Despite of their important role in multiscale modeling to bridge microscopic and macroscopic scales, numerically solving kinetic equations is computationally demanding as they lie in the six-dimensional phase space. Dynamical low-rank method is a kind of dimension-reduction technique that has been recently applied to kinetic theory, yet most of the endeavor is devoted to linear or collisionless problems. In this talk, we introduce efficient dynamical low-rank methods for Boltzmann type collisional kinetic equations, building on certain prior knowledge about the low-rank structure of the solution.

人简介:

Dr. Jingwei Hu, she is currently an associate professor at the Department of Applied Mathematics, and an adjunct Associate Professor at the William E. Boeing Department of Aeronautics & Astronautics in the University of Washington. She received her bachelor degree from Peking University and Ph.D from the University of Wisconsin-Madison. Before she moved to Washington, she worked as a postdoc in the University of Texas at Austin, and assistant and associate professor in Purdue University. In 2017, she received the NSF Career Award. Now she serves as an Associate editor for the journals of La Matematica and Kinetic & Related Models.

 

联系人:熊涛