Decay of the 3D inviscid liquid-gas two-phase flow model

作者：Zhang, Yinghui^*

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2016, 67(3): 54.

DOI：10.1007/s00033-016-0658-7

• Time decay rates
• Damping
• Hodge decomposition
• Inviscid liquid-gas two-phase flow

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 inviscid liquid-gas two-phase flow model and analyze the influences of the damping on the qualitative behaviors of solution. Compared with the viscous liquid-gas two-phase flow model (Zhang and Zhu in J Differ Equ 258:2315-2338, 2015), our results imply that the friction effect of the damping is stronger than the dissipation effect of the viscosities and enhances the decay rate of the velocity. Our proof is based on Hodge decomposition technique, the L-p - L-2 estimates for the linearized equations and an elaborate energy method.

• 出版日期2016-6
• 单位湖南理工学院