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Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models


Reference:

Di Francesco, M. and Wunsch, M., 2008. Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models. Monatshefte fur Mathematik, 154 (1), pp. 39-50.

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    Official URL:

    http://dx.doi.org/10.1007/s00605-008-0532-6

    Abstract

    We prove asymptotic stability results for nonlinear bipolar drift-diffusion-Poisson Systems arising in semiconductor device modeling and plasma physics in one space dimension. In particular, we prove that, under certain structural assumptions on the external potentials and on the doping profile, all solutions match for large times with respect to all q-Wasserstein distances. We also prove exponential convergence to stationary solutions in relative entropy via the so called entropy dissipation (or Bakry-Émery) method.

    Details

    Item Type Articles
    CreatorsDi Francesco, M.and Wunsch, M.
    DOI10.1007/s00605-008-0532-6
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementwunsch.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code32328

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