PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Hope Shaffer.

Title:Mathematical theory for charged particles: from kinetic equations to continuum models
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Hao Wu, Mathematics, Fudan University, China
Abstract:
The impact of charged-particles on the human's life is constantly increasing, due to their importance in such domains as plasma physics, industrial processes, biology, etc. It is related to a large variety of physical situations and has complex multiscale character. In this talk, I will explore the mathematical theory for the charged particles including the kinetic equations and continuum field models. In particular, I will discuss the diffusion limit of Vlasov-Poisson-Fokker-Planck (VPFP) equations to the Poisson-Nernst-Planck (PNP) equations for multispecies charged particles, which are widely used to describe the drift-diffusion of electrons and holes in semiconductors, as well as the movement of ions in solutions and protein channels. Besides, I will discuss the well-posedness and long-time behavior of the PNP equations with a nonlinear generation-recombination rate.

Room Reservation Information

Room Number:MB106
Date:11 / 16 / 2012
Time:03:35pm - 04:25pm