Publicación: 4-VORTEX TRAPEZOIDAL CENTRAL CONFIGURATIONS
Fecha
2020
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BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
Resumen
IN THIS WORK WE EXAMINE TRAPEZOIDAL CENTRAL CONFIGURATIONS IN THE PLANAR FOUR-VORTEX PROBLEM. MORE SPECIFICALLY, WE CONSIDER THE CONVEX CENTRAL CONFIGURATIONS IN WHICH THE CONVEX QUADRILATERAL HAS TWO PARALLEL SIDES. WITH ANALYTICAL ARGUMENTS WE CLASSIFY ALL POSSIBLE ARRANGEMENTS. ADDITIONALLY, WE PROVE THE UNIQUENESS OF THE TRAPEZOIDAL CENTRAL CONFIGURATION FOR GIVING FOUR VORTICITIES WITH THE SAME SIGN.
