A note on viscous liquid-gas two-phase flow model with mass-dependent viscosity and vacuum

作者:Yao Lei*; Guo Huiling; Guo Zhenhua
来源:Nonlinear Analysis: Real World Applications , 2012, 13(5): 2323-2342.
DOI:10.1016/j.nonrwa.2012.02.001

摘要

In this paper, we consider a free boundary value problem for two-phase liquid-gas model with mass-dependent viscosity coefficient; the gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid, and the fluid velocities are unequal, i.e., u(g) not equal u(t). The local existence of a weak solution is established when the initial gas mass connects to vacuum continuously.

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