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- W2999771990 abstract "In this study, we consider the three-dimensional quantum bipolar drift-diffusion model arising from the semiconductor device simulation, which consists of the coupled nonlinear fourth-order parabolic equation and Poisson equation. Based on the results of the self-similar stability for the one-dimensional quantum bipolar drift-diffusion equation, we show the stability of planar self-similar wave for the three-dimensional quantum bipolar drift-diffusion model. Using the energy methods, we present the global existence of smooth solutions for the initial value problem of the three-dimensional quantum bipolar drift-diffusion equation when the initial data are close to the planar self-similar wave. We also show that in large time, the solution of the three-dimensional quantum bipolar drift-diffusion equations tends to the planar self-similar wave, at an algebraic time-decay rate." @default.
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- W2999771990 date "2020-06-01" @default.
- W2999771990 modified "2023-10-18" @default.
- W2999771990 title "Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors" @default.
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- W2999771990 doi "https://doi.org/10.1016/j.jmaa.2020.123866" @default.
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