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

摘要

We establish the optimal L-p - L-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-p - L-2 estimates for the linearized equations, and delicate energy estimates. Published by AIP Publishing.