Internal symmetric waves of two-layer fluids over an obstruction

H. J. Kim, W. S. Bae, J. W. Choi


We study two-dimensional capillary-gravity waves on the interface between two immiscible, inviscid and incompressible fluids of different constant densities bounded by two horizontal rigid boundaries with small obstructions with compact support. A forced modified Korteweg--de Vries equation is derived as a model equation without assuming that the fluid is of constant depth at far upstream. Various new types of steady solutions have been obtained numerically.

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.