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math.AP2024
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…
math.AP2024
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…
math.AP2024
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 Schrödinger…