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math.AP2023
Steady solutions for the Schrödinger map equation
Claudia García, Luis Vega
In this paper we use bifurcation methods to construct a new family of solutions of the binormal flow, also known as the vortex filament equation, which do not change their form. Ou…
math.AP2023
Time periodic solutions close to localized radial monotone profiles for the 2D Euler equations
Claudia García, Taoufik Hmidi, Joan Mateu
In this paper, we address for the 2D Euler equations the existence of rigid time periodic solutions close to stationary radial vortices of type , w…