45 citations · 242 across the 29 of their papers we have counts for
33 papers · 1 filter
A measure- div-curl lemma
Valeria Banica, Nicolas Burq
In this note we give a very short proof of the div-curl lemma in the limit conjugate case , where is the set of Radon measures on .…
On low regularity well-posedness of the binormal flow
Valeria Banica, Renato Lucà, Nikolay Tzvetkov +1
We focus on a class of solutions of the binormal flow, model of the evolution of vortex filaments, that generate several corner singularities in finite time. This phenomenon has be…
Multifractality and polygonal vortex filaments
Valeria Banica, Daniel Eceizabarrena, Andrea. R. Nahmod +1
In this proceedings article we survey the results in [5] and their motivation, as presented at the 50th Journées EDP 2024. With the aim of quantifying turbulent behaviors of vortex…
Turbulent solutions of the binormal flow and the 1D cubic Schrödinger equation
Valeria Banica, Luis Vega
In the last three decades there has been an intense activity on the exploration of turbulent phenomena of dispersive equations, as for instance the growth of Sobolev norms since th…
Multifractality and intermittency in the limit evolution of polygonal vortex filaments
Valeria Banica, Daniel Eceizabarrena, Andrea R. Nahmod +1
With the aim of quantifying turbulent behaviors of vortex filaments, we study the multifractality and intermittency of the family of generalized Riemann's non-differentiable functi…
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 $…