46 citations · 93 across the 17 of their papers we have counts for
5 papers · 1 filter
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case
Francisco de la Hoz, Sergei Iakunin
The simplest case is the reconnection of a pair of antiparallel line vortices, e.g., condensation trails of an aircraft. The vortices first undergo long wave deformation (Crow wave…
An analytical and numerical study of steady patches in the disc
Francisco de la Hoz, Zineb Hassainia, Taoufik Hmidi +1
In this paper, we prove the existence of -fold rotating patches for the Euler equations in the disc, for both simply-connected and doubly-connected cases. Compared to the planar…
Doubly connected V-states for the generalized surface quasi-geostrophic equations
Francisco de la Hoz, Zineb Hassainia, Taoufik Hmidi
In this paper, we prove the existence of doubly connected V-states for the generalized SQG equations with They can be described by countable branches bifurcating from…
Doubly connected V-states for the planar Euler equations
Taoufik Hmidi, Francisco de la Hoz, Joan Mateu +1
We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple "eigenvalues". The bifu…
Vortex Filament Equation for a Regular Polygon
Francisco de la Hoz, Luis Vega
In this paper, we study the evolution of the vortex filament equation (VFE), with being a regular planar poly…