Speaker : Dr. Chia-Yu Hsieh (National Center for Theoretical Sciences)
Title : A Poisson-Nernst-Planck Model with Singular Permanent Charges
Time : 2018-05-30 (Wed) 11:00 - 12:30
Place : Room 202, Astro-Math. Building
Abstract: The Poisson-Nernst-Planck (PNP) system is widely used to model charge transport in many physical and biological problems, for example, semiconductors and ion channels. In this talk, we will introduce a PNP system with singular permanent charges. When the permanent charge distribution is an ensemble of point charges in the domain, we transform the original system into a parabolic-elliptic system with weights. We will show the well-posedness of the system in some weighted Sobolev spaces.