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Nonlocal excess potentials and BVP of Poisson-Nernst-Planck systems
时间  Datetime
2019-07-24 09:00 — 10:30 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Weishi Liu(刘为世)
单位  Affiliation
University of Kansas
邀请人  Host
于江
报告摘要  Abstract

Boundary value problem (BVP) of Poisson-Nernst-Planck (PNP) systems with local excess potentials are extensively analyzed and simulated. For PNP systems with nonlocal excess potentials, on the other hand, even the issue
of well-posedness of the BVP is poorly understood. PNP systems with nonlocal excess potentials can be viewed as functional di erential systems with in nite degree of freedoms and the BVP with the traditional two-point-boundary-conditions" would be severely under determined. We propose a natural \boundary condition" for PNP systems with nonlocal excess potentials in a relatively simple setting and show the BVP is generally well-posed.