Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-04-01

Journal: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals: EI、SCIE

Volume: 9

Issue: 2

Page Number: 326-337

ISSN: 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.