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\textbf{SPEAKER}:
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Jay Hineman, Fordham University
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{\bf TITLE}:
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Very Weak Solutions for Poisson–Nernst–Planck System
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{\bf ABSTRACT:}\\
  We formulate a notion of very weak solution for the Poisson--Nernst--Planck system. The Poisson--Nernst--Planck system describes the motion of ions due to diffusion and electromigration. The stationary system possesses a local monotonicity formula which reveals a local boundedness result for ion density and the gradient of electrical potential. These results are part of recent joint work with Rolf J. Ryham.
  
  


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