For more information about this meeting, contact Victor Nistor, Jinchao Xu, Robin Enderle, Xiantao Li, Yuxi Zheng, Hope Shaffer.
| Title: | Mathematical theory for charged particles: from kinetic equations to continuum models |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Hao Wu, Mathematics, Fudan University, China |
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| Abstract: |
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| 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 |
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| Date: | 11 / 16 / 2012 |
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| Time: | 03:35pm - 04:25pm |
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