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Chiun-Chang Lee

2013-12-26
16:30:00 - 17:20:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

The Charge Conserving Poisson-Boltzmann Equations ( CCPB Equations, Named by Prof. Ping Sheng & Chun Liu) is a nonlocal nonlinear elliptic equation for describing the ion transport with electroneutrality and non-electroneutrality. In this talk, the limiting behavior for radial solutions of CCPB equations will be introduced. In particular, when the total charges of negative ions (positive ions, respectively) is less than that of positive ions (negative ions, respectively) in the electrolyte, we prove rigorously that the electrolyte tends to (pointwise) electroneutrality in the bulk, while it occurs strong non-electroneutrality near the boundary.