Large Time Behavior in Wasserstein Spaces and Relative Entropy for Bipolar Drift-diffusion-poisson Models
نویسندگان
چکیده
We shall 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 shall prove that, under certain structural assumptions on the external potential 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.
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