Analysis of a Drift-Diffusion-Schrödinger-Poisson model

نویسندگان

  • Naoufel Ben Abdallah
  • Florian Méhats
  • Nicolas Vauchelet
چکیده

A Drift-Diffusion-Schrödinger-Poisson system is presented, which models the transport of a quasi bidimensional electron gas confined in a nanostructure. We prove the existence of a unique solution to this nonlinear system. The proof makes use of some a priori estimates due to the physical structure of the problem, and also involves the resolution of a quasistatic Schrödinger-Poisson system.

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تاریخ انتشار 2003