On the stationary solutions of multi-dimensional bipolar hydrodynamic model of semiconductors

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• 作者：Huimin Yu ^{hmyu@amss.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Euler&ndash ; Poisson systems ; Bipolar multi-dimensional semiconductor device ; Stationary solution
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：108-112
• 全文大小：704 K

文摘

In this note, we are interested in the existence and uniqueness of the steady solutions to an id="mmlsi1" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0893965916302427&_mathId=si1.gif&_user=111111111&_pii=S0893965916302427&_rdoc=1&_issn=08939659&md5=b0a4157a4ceec9653ab9cf710c31875c" title="Click to view the MathML source">Nan>an class="mathContainer hidden">an class="mathCode">ath id="mml1" overflow="scroll" altimg="si1.gif">Nath>an>an>an>-dimensional bipolar hydrodynamic model of semiconductors. Different from the unipolar case, the time-independent model is an elliptic equation with nonlocal terms. For an id="mmlsi2" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0893965916302427&_mathId=si2.gif&_user=111111111&_pii=S0893965916302427&_rdoc=1&_issn=08939659&md5=aef414561cf76cff401ab8962c101345" title="Click to view the MathML source">N=1,2an>an class="mathContainer hidden">an class="mathCode">ath id="mml2" overflow="scroll" altimg="si2.gif">N=1,2ath>an>an>an>, we achieve our goal by the calculus of variations, without any additional assumptions on the doping profile and the initial densities.