Particle paths beneath forced small amplitude periodic waves in a shallow channel with constant vorticity

Authors

  • Marcelo V. Flamarion UFRPE/Rural Federal University of Pernambuco, UACSA/Unidade Academica do Cabo de Santo Agostinho, BR 101 Sul, 5225, 54503-900, Ponte dos Carvalhos, Cabo de Santo Agostinho, Pernambuco, Brazil.

DOI:

https://doi.org/10.17268/sel.mat.2023.01.14

Keywords:

Water waves, Gravity-waves, Constant vorticity, KdV equation

Abstract

Particle paths beneath small amplitude periodic forced waves in a shallow water channel are investigated.

The problem is formulated in the forced Korteweg-de Vries equation framework which allows to approximate the velocity field in the bulk fluid. We show that the flow can have zero, one or three stagnation points.

Besides, differently from the unforced problem, stagnation points can arise for small values of the vorticity as long as the moving disturbance travels sufficiently fast.

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Published

2023-07-26

How to Cite

Flamarion, M. V. (2023). Particle paths beneath forced small amplitude periodic waves in a shallow channel with constant vorticity. Selecciones Matemáticas, 10(01), 158 - 163. https://doi.org/10.17268/sel.mat.2023.01.14

Issue

Vol. 10 No. 01 (2023): January - July

Section

Articles

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