A blow-up criterion of strong solution to a 3D viscous liquid-gas two-phase flow model with vacuum

摘要

In this paper, we get a unique local strong solution to a 3D viscous liquid-gas two-phase flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution for 25/3μ>λ is obtained. The method can be applied to study a blow-up criterion of the strong solution to Navier-Stokes equations for 25/3μ>λ, which improves the corresponding result about Navier-Stokes equations in Sun et al. (2011) [15] where 7μ > λ Moreover, all the results permit the appearance of vacuum.