Solutions to a Nonlinear Drift-diffusion Model for Semiconductors
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A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.
CitationFang, W., & Ito, K. (1999). Solutions to a nonlinear drift-diffusion model for semiconductors. Electronic Journal of Differential Equations, 1999(15), pp. 1-38.
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