7 papers
Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
Valeria Banica, Georg Maierhofer, Katharina Schratz
Hermite basis functions are a classical tool for the spatial discretisation of Schrödinger equations with harmonic potential. In this work, we prove that their favourable stability…
Remarks on hypoelliptic equations
Valeria Banica, Nicolas Burq
Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different levels of regularity and…
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 LucÃ, 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 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…
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…