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math.AP2024★ 6 cited
Nonlinear two-dimensional water waves with arbitrary vorticity
Delia Ionescu-Kruse, Rossen Ivanov
We consider the two-dimensional water-wave problem with a general non-zero vorticity field in a fluid volume with a flat bed and a free surface. The nonlinear equations of motion f…
math.AP2018★ 8 cited
Benjamin-Ono model of an internal wave under a flat surface
Alan C. Compelli, Rossen I. Ivanov
A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer whi…
math.AP2013
On the persistence properties of the cross-coupled Camassa-Holm system
David Henry, Darryl D. Holm, Rossen I. Ivanov
In this paper we examine the evolution of solutions, that initially have compact support, of a recently-derived system of cross-coupled Camassa-Holm equations. The analytical metho…