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

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4961319· OSTI ID:22596443

Zhang, Yinghui ^[1]

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1. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006 (China)

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.

• OSTI ID: 22596443
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAUCHY PROBLEM
DAMPING
DECAY
FLOW MODELS
MATHEMATICAL SOLUTIONS
THREE-DIMENSIONAL CALCULATIONS
TWO-PHASE FLOW