Multifractality and intermittency in the limit evolution of polygonal vortex filaments

DOI10.1007/S00208-024-02971-0MaRDI QIDQ6670391

Daniel Eceizabarrena, Valeria Banica, L. Vega, Andrea R. Nahmod

Publication date: 23 January 2025

Published in: Mathematische Annalen (Search for Journal in Brave)

Mathematics Subject Classification ID

Turbulence (76F99) Measures of irrationality and of transcendence (11J82) Metric theory (11J83) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Numerical simulation of nonlinear dispersive quantization
• On the motion of a curve by its binormal curvature
• Teoremi di unicità e di esistenza per le piccole oscillazioni di un filetto vorticoso prossimo alla forma circolare.
• On Riemann ``nondifferentiable function and Schrödinger equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Differentiability and dimension of some fractal Fourier series
• Sul moto d'un liquido indefinito con un filetto vorticoso di forma qualunque.
• The spectrum of singularities of Riemann's function
• Dynamical fractional and multifractal fields
• Riemann's non-differentiable function and the binormal curvature flow
• Convex integration and phenomenologies in turbulence
• On the Duffin-Schaeffer conjecture
• Multifractal behavior of polynomial Fourier series
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Some Fourier series with gaps
• Talbot effect for the cubic non-linear Schröedinger equation on the torus
• Khintchine's problem in metric diophantine approximation
• Evolution of polygonal lines by the binormal flow
• Fractal geometry. Mathematical foundations and applications
• Vortex filament equation for a regular polygon
• Dispersive Quantization
• Multifractal Formalism for Functions Part I: Results Valid For All Functions
• Quantum fractals in boxes
• Integer, fractional and fractal Talbot effects
• Local L^2-regularity of Riemann’s Fourier series
• An Analytical Study of Flatness and Intermittency through Riemann's Nondifferentiable Functions
• On the regularity of fractional integrals of modular forms
• Fractal solutions of linear and nonlinear dispersive partial differential equations
• Dispersion of discontinuous periodic waves
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
• More on the Differentiability of the Riemann Function
• The Differentiability of Riemann's Function
• \textit{Weierstrass}'s non-differentiable function.
• The pointwise behavior of Riemann's function
• The phenomenon of revivals on complex potential Schrödinger's equation

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