On instability of a generic compressible two-fluid model in ${\mathbb{R}}^3$

Guochun Wu, Lei Yao, Yinghui Zhang

We are concerned with the instability of a generic compressible two-fluid model in the whole space ${\mathbb{R}}^3$, where the capillary pressure $f({\alpha }^{-}{\rho }^{-})=P^{+}-P^{-}\ne 0$ is taken i…