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math.AP2024★ 1 cited
Linearized dynamic stability for vortices of Ginzburg-Landau evolutions
José M. Palacios, Fabio Pusateri
We consider the problem of dynamical stability for the -vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic sta…
math.AP2024
Local Energy control in the presence of a zero-energy resonance
José M. Palacios, Fabio Pusateri
We consider the problem of stability and local energy decay for co-dimension one perturbations of the soliton of the cubic Klein-Gordon equation in dimensions. Our main resul…
math.AP2024
Long time regularity for 3d gravity waves with vorticity
Daniel Ginsberg, Fabio Pusateri
We consider the Cauchy problem for the full free boundary Euler equations in d with an initial small velocity of size , in a moving domain which is initially an …