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论文类型：期刊论文

发表时间：2008-04-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：SCIE、EI

卷号：9

期号：2

页面范围：326-337

ISSN号：1468-1218

关键字：quantum hydrodynamics; exponential decay; large-time behavior; entropy method; a priori estimates

摘要：This paper deals with large-time behavior of solutions for a viscous bipolar quantum hydrodynamic model with third-order terms. By applying the entropy method, we prove exponential decays of solutions towards constant steady states for the one-dimensional and the multi-dimensional cases. The argument is based on a series of a priori estimates. As a byproduct, the decay of solutions for the viscous hydrodynamic model is obtained as well. (c) 2006 Elsevier Ltd. All rights reserved.