This work deals with the blow-up criterion for the strong solution to the three-dimensional viscous liquid-gas two-phase flow model in terms of the L 1(0, T;L ∞)-norm of the gradient of the velocity with two types of boundary conditions: the Dirichlet boundary condition and the Navier-slip boundary condition. There is no extra restriction on viscosity coefficients. The result also applies to the whole space case. © 2012 Elsevier Ltd.
Yao, L., Yang, J., & Guo, Z. (2012). Blow-up criterion for 3D viscous liquid-gas two-phase flow model. Journal of Mathematical Analysis and Applications, 395(1), 175–190. https://doi.org/10.1016/j.jmaa.2012.05.018