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Charge Transport in an Incompressible Fluid: New Devices in Computational Electronics

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Nonlinear Conservation Laws and Applications

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 153))

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Abstract

A model for electro-diffusion is discussed, characterized by the Navier- Stokes/Poisson-Nernst-Planck system. In particular, we emphasize: (i) significant applications; (ii) existence for the initial/boundary-value problem; (iii) aspects of the steady problem.

AMS(MOS) subject classifications. Primary 35Q30, 76D03, 76C05.

The work of the author was supported in part by ONR/Darpa grant LLCN00014-05-C-0241 and in part by NSF grant DMS-0935967.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Northwestern University, Evanston, IL, 60208-2730, USA

    Joseph W. Jerome

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  1. Joseph W. Jerome
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Editor information

Editors and Affiliations

  1. McAllister Bldg 201, University Park, 16802-6401, Pennsylvania, USA

    Alberto Bressan

  2. , Oxford Centre for Nonlinear PDE, Mathema, University of Oxford, St Giles 24–29, Oxford, OX1 3LB, Montserrat

    Gui-Qiang G. Chen

  3. , School of Mathematics, University of Minnesota, Church Street S.E, 206, Minneapolis, 55455, Minnesota, USA

    Marta Lewicka

  4. , Department of Mathematics, University of Pittsburgh, Pittsburgh, 15260, Pennsylvania, USA

    Dehua Wang

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Jerome, J.W. (2011). Charge Transport in an Incompressible Fluid: New Devices in Computational Electronics. In: Bressan, A., Chen, GQ., Lewicka, M., Wang, D. (eds) Nonlinear Conservation Laws and Applications. The IMA Volumes in Mathematics and its Applications, vol 153. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9554-4_19

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