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math.AP2021★ 2 cited
Convergence over fractals for the Schrödinger equation
Renato Lucà, Felipe Ponce-Vanegas
We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to t…
math.AP2019
Pointwise Convergence of the Schrödinger Flow
E. Compaan, R. Lucà, G. Staffilani
In this paper we address the question of the pointwise almost everywhere limit of nonlinear Schrödinger flows to the initial data, in both the continuous and the periodic settings.…
math.AP2016
Vortex reconnection in the three dimensional Navier-Stokes equations
Alberto Enciso, Renato Luca, Daniel Peralta-Salas
We prove that the vortex structures of solutions to the 3D Navier-Stokes equations can change their topology without any loss of regularity. More precisely, we construct smooth hig…