In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in R-d. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t--> + infinity. (C) 2003 Elsevier Science (USA). All rights reserved.
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Zhang, Jie
Wang, Shu
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Beijing Univ Technol, Fac Sci, Sch Math, Beijing 100124, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Wang, Shu
Geng, Fan
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China