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On perturbations of a tangential discontinuity surface between two non-uniform flows of an ideal incompressible fluid. (English. Russian original) Zbl 1458.76043
J. Appl. Mech. Tech. Phys. 60, No. 2, 211-223 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 32-46 (2019).
Summary: The development of perturbations of a tangential discontinuity surface separating two stationary flows of an ideal incompressible fluid slowly varying in space is studied taking into account surface tension. Perturbations are described using complex Hamiltonian equations. The dependences of the amplitude of perturbations on the coordinate and time are obtained.
MSC:
76E17 Interfacial stability and instability in hydrodynamic stability
76B45 Capillarity (surface tension) for incompressible inviscid fluids
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