Fluid Assisted Charge Transport: Mathematical Consistency of the Navier-Stokes/Poisson-Nernst-Planck Model

Joseph Jerome (April 27, 2011)

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The Navier-Stokes/Poisson-Nernst-Planck model assumes significance because of its connection to the electrophysiology of the cell, including neuronal cell monitoring and microfluidic devices in biochip technology. The model has also been used in other applications, including electro- osmosis. The steady model is especially important in ion channel model- ing, because the channel remains open for milliseconds, and the transients appear to decay on the scale of tens of nanoseconds. In this talk, empha- sis will be placed upon the mathematical consistency of the unsteady and steady models. Some representative applications and simulations will be included.