RCTS Scientific Computing Seminar

DATE2015-11-13 15:00-16:00



TITLEAsymptotic Blow-Up Behavior for Boundary Layer Solutions of Charge Conserving Poisson-Boltzmann Equations

ABSTRACT Abstract : In order to investigate the behavior of the electrical double layer (EDL) structure, we treat a charge conserving Poisson-Boltzmann (CCPB) equation as the basis for a framework of the ion transport in electrolyte solutions and study its boundary layer solutions. Under the non-electroneutrality, we show that solutions approach the (pointwise) electroneutrality and have quite strong non-electroneutrality near the boundary. Such a result can be found in the experiment of the redox reaction. Moreover, we establish the exact first two order terms of the asymptotic expansion of solutions which provides a point of view to see the influence of ionic concentrations and charge valences on the EDL.