Mathematical Biology Seminar|
Penn State University
Monday, Feb 6, 2006
"Analysis of a Nonlocal, Semilinear Equation from Electrokinetics"
We will consider a nonlocal form of the Poisson-Boltzmann
equation which describes the stationary charge configuration of an
electrolyte. For vanishing dielectric constant, the speaker will
demonstrate a as yet unknown instability of the equation and the
physical relevance the instability in modeling practices. As time
permits, we will also discuss the hydrodynamic system, existence of
solutions and show some finite element simulations.