5 papers · 1 filter
Almost sure pointwise convergence for the 2D periodic quintic NLS
Daniel Eceizabarrena, Pablo Merino
We prove probabilistic pointwise convergence to the initial datum for the 2D periodic quintic NLS for data in with . This is an improvement with respect t…
Uniform periodic counterexamples to Carleson's convergence problem with polynomial symbols
Daniel Eceizabarrena, Xueying Yu
In Carleson's convergence problem for dispersive equations in the periodic setting , we prove that the Sobolev exponent is ne…
Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation
Chu-Hee Cho, Daniel Eceizabarrena
We study the problem of pointwise convegence for the Schrödinger operator on along time sequences. We show that the sharp counterexample to the sequential Schröding…
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…
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 vorte…