Author ORCID Identifier
0000-0003-1008-8272
Document Type
Article
Disciplines
Applied mathematics, Fluids and plasma physics
Abstract
We study a coupled system of differential equations, which models the dynamics of fluid with a free surface and a point vortex in the body of the fluid. For long surface waves of small amplitude, the effects of the interaction between the waves and the point vortex are modeled within the framework of the Boussinesq regime. It turns out that the solitary waves on the surface are not destroyed by the interaction with the vortex, and, as a matter of fact, the solitary waves remain practically unaffected for a significant range of the vortex strength. As a result, a further simplification of the model is proposed, where the vortex motion under solitons propagating on the surface is determined from a system of decoupled ordinary differential equations.
DOI
10.1007/s00332-025-10222-y
Recommended Citation
Ionescu-Kruse, D., Ivanov, R.I. & Todorov, M.D. Point Vortex Dynamics Influenced by the Surface Motion. J Nonlinear Sci 36, 9 (2026). https://doi.org/10.1007/s00332-025-10222-y
Funder
Research Ireland
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Included in
Fluid Dynamics Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Ionescu-Kruse, D., Ivanov, R.I. & Todorov, M.D. Point Vortex Dynamics Influenced by the Surface Motion. J Nonlinear Sci 36, 9 (2026).
https://doi.org/10.1007/s00332-025-10222-y
SharedIt: https://rdcu.be/eRETT