46 citations · 430 across the 64 of their papers we have counts for
73 papers
Reconnection of infinitely thin antiparallel vortices and coherent structures
Sergei Iakunin, Luis Vega
One of the characteristic features of turbulent flows is the emergence of many vortices which interact, deform, and intersect, generating a chaotic movement. The evolution of a pai…
Blow-up for the 1D cubic NLS
Valeria Banica, Renato Lucà, Nikolay Tzvetkov +1
We consider the 1D cubic NLS on and prove a blow-up result for functions that are of borderline regularity, i.e. for any for the Sobolev scale and $…
New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger map
Valeria Banica, Luis Vega
We review some recent results concerning the Initial Value Problem of 1d-cubic non-linear Schrödinger equation (NLS) and other related systems as the Schrödinger Map. For the latte…
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…
On the one dimensional cubic NLS in a critical space
Marco Bravin, Luis Vega
In this note we study the initial value problem in a critical space for the one dimensional Schrödinger equation with a cubic non-linearity and under some smallness conditions. In…
Eigenvalue curves for generalized MIT bag models
Naiara Arrizabalaga, Albert Mas, Tomás Sanz-Perela +1
We study spectral properties of Dirac operators on bounded domains with boundary conditions of electrostatic and Lorentz scalar type and which depend on a p…