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Indexed by:期刊论文

Date of Publication:2008-04-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:SCIE、EI

Volume:9

Issue:2

Page Number:326-337

ISSN No.:1468-1218

Key Words:quantum hydrodynamics; exponential decay; large-time behavior; entropy method; a priori estimates

Abstract: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.