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Title: Decay of the 3D viscous liquid-gas two-phase flow model with damping

Abstract

We establish the optimal L{sup p} − L{sup 2}(1 ≤ p < 6/5) time decay rates of the solution to the Cauchy problem for the 3D viscous liquid-gas two-phase flow model with damping and analyse the influences of the damping on the qualitative behaviors of solution. It is observed that the fraction effect of the damping affects the dispersion of fluids and enhances the time decay rate of solution. Our method of proof consists of Hodge decomposition technique, L{sup p} − L{sup 2} estimates for the linearized equations, and delicate energy estimates.

Authors:
 [1]
  1. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006 (China)
Publication Date:
OSTI Identifier:
22596443
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUCHY PROBLEM; DAMPING; DECAY; FLOW MODELS; MATHEMATICAL SOLUTIONS; THREE-DIMENSIONAL CALCULATIONS; TWO-PHASE FLOW

Citation Formats

Zhang, Yinghui, E-mail: zhangyinghui0910@126.com. Decay of the 3D viscous liquid-gas two-phase flow model with damping. United States: N. p., 2016. Web. doi:10.1063/1.4961319.
Zhang, Yinghui, E-mail: zhangyinghui0910@126.com. Decay of the 3D viscous liquid-gas two-phase flow model with damping. United States. doi:10.1063/1.4961319.
Zhang, Yinghui, E-mail: zhangyinghui0910@126.com. 2016. "Decay of the 3D viscous liquid-gas two-phase flow model with damping". United States. doi:10.1063/1.4961319.
@article{osti_22596443,
title = {Decay of the 3D viscous liquid-gas two-phase flow model with damping},
author = {Zhang, Yinghui, E-mail: zhangyinghui0910@126.com},
abstractNote = {We establish the optimal L{sup p} − L{sup 2}(1 ≤ p < 6/5) time decay rates of the solution to the Cauchy problem for the 3D viscous liquid-gas two-phase flow model with damping and analyse the influences of the damping on the qualitative behaviors of solution. It is observed that the fraction effect of the damping affects the dispersion of fluids and enhances the time decay rate of solution. Our method of proof consists of Hodge decomposition technique, L{sup p} − L{sup 2} estimates for the linearized equations, and delicate energy estimates.},
doi = {10.1063/1.4961319},
journal = {Journal of Mathematical Physics},
number = 8,
volume = 57,
place = {United States},
year = 2016,
month = 8
}