We show experimental and computational evidence of a new structure: an undercompressive and reverse undercompressive shock for draining films driven by a surface tension gradient against gravity. The reverse undercompressive shock is unstable to transverse perturbations while the leading undercompressive shock is stable. Depending on the pinch-off film thickness, as controlled by the meniscus, either a trailing rarefaction wave or a compressive shock separates from the reverse undercompressive shock.
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Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United KingdomMathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom
Howell, P.D.
Robinson, J.
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Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United KingdomMathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom
Robinson, J.
Stone, H.A.
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Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, United StatesMathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom