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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.

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

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Additional constraints are required for transformation in inclined flows.

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

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

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