On the Squire's transformation for stratified two-phase flows in inclined channels
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Squire's transformation for stability of stratified two-phase flow is studied.

Squire's theorem rigorously holds for horizontal stratified two-phase flows.

Additional constraints are required for transformation in inclined flows.

Multiple solutions for the holdup in inclined stratified flow are considered.

2D perturbations are proven to be the critical ones for inclined stratified flows.

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