| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898918 | Journal of Differential Equations | 2018 | 15 Pages |
Abstract
The distance among two counter-rotating vortex filaments satisfies a beam-type of equation according to the model derived in [15]. This equation has an explicit solution where two straight filaments travel with constant speed at a constant distance. The boundary condition of the filaments is 2Ï-periodic. Using the distance of the filaments as bifurcating parameter, an infinite number of branches of periodic standing waves bifurcate from this initial configuration with constant rational frequency along each branch.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Carlos GarcÃa-Azpeitia,