The asymptotic behaviour of global smooth solutions to the multi‐dimensional hydrodynamic model for semiconductors

The asymptotic behaviour of global smooth solutions to the multi‐dimensional hydrodynamic model for semiconductors
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DOI:
10.1002/mma.410
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发表时间:
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影响因子:
2.9
通讯作者:
L. Hsiao;Q. Ju;Shu Wang
L. Hsiao;Q. Ju;Shu Wang
中科院分区:
数学4区
文献类型:
--
作者:
L. Hsiao;Q. Ju;Shu Wang

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我们建立了多维半导体流体动力学模型Cauchy问题光滑解的整体存在性,假设初始数据是给定稳态解的扰动,并证明了所得的演化解在时间上以指数速度渐近收敛到稳态解。版权所有© 2003约翰威利父子有限公司
We establish the global existence of smooth solutions to the Cauchy problem for the multi‐dimensional hydrodynamic model for semiconductors, provided that the initial data are perturbations of a given stationary solutions, and prove that the resulting evolutionary solution converges asymptotically in time to the stationary solution exponentially fast. Copyright © 2003 John Wiley & Sons, Ltd.