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 |
| Creators | Di Francesco, M.and Wunsch, M. |
| DOI | 10.1007/s00605-008-0532-6 |
| Departments | Faculty of Science > Mathematical Sciences |
| Publisher Statement | wunsch.pdf: The original publication is available at www.springerlink.com |
| Refereed | Yes |
| Status | Published |
| ID Code | 32328 |
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