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The Time Asymptotic Expansion of the Bipolar Hydrodynamic Model for Semiconductors
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作者 Xiao-chun WU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2023年第1期95-108,共14页
In 2003, Gasser-Hsiao-Li [JDE(2003)] showed that the solution to the bipolar hydrodynamic model for semiconductors(HD model) without doping function time-asymptotically converges to the diffusion wave of the porous me... In 2003, Gasser-Hsiao-Li [JDE(2003)] showed that the solution to the bipolar hydrodynamic model for semiconductors(HD model) without doping function time-asymptotically converges to the diffusion wave of the porous media equation(PME) for the switch-off case. Motivated by the work of Huang-Wu[arXiv:2210.13157], we will confirm that the time-asymptotic expansion proposed by Geng-Huang-Jin-Wu [arXiv:2202.13385] around the diffusion wave is a better asymptotic profile for the HD model in this paper, where we mainly adopt the approximate Green function method and the energy method. 展开更多
关键词 time asymptotic expansion bipolar hydrodynamic model for semiconductors switch-off approximate Green function
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