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• W3042236557 abstract "We make a connection between a famous analytical object introduced in the 1860s by Riemann, as well as some variants of it, and a nonlinear geometric PDE, the binormal curvature flow. As a consequence this analytical object has a non-obvious nonlinear geometric interpretation. We recall that the binormal flow is a standard model for the evolution of vortex filaments. We prove the existence of solutions of the binormal flow with smooth trajectories that are as close as desired to curves with a multifractal behavior. Finally, we show that this behavior falls within the multifractal formalism of Frisch and Parisi, which is conjectured to govern turbulent fluids." @default.
• W3042236557 created "2020-07-23" @default.
• W3042236557 creator A5051897690 @default.
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• W3042236557 date "2022-04-02" @default.
• W3042236557 modified "2023-10-03" @default.
• W3042236557 title "Riemann’s Non-differentiable Function and the Binormal Curvature Flow" @default.
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• W3042236557 doi "https://doi.org/10.1007/s00205-022-01769-1" @default.
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