Publications

BibTex format

@article{Gibbon:2022:10.1098/rsta.2021.0092,
author = {Gibbon, JD and Dubrulle, B},
doi = {10.1098/rsta.2021.0092},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
title = {A correspondence between the multifractal model of turbulence and the Navier-Stokes equations},
url = {http://dx.doi.org/10.1098/rsta.2021.0092},
volume = {380},
year = {2022}
}

Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The multifractal model of turbulence (MFM) and the three-dimensional Navier–Stokes equations are blended together by applying the probabilistic scaling arguments of the former to a hierarchy of weak solutions of the latter. This process imposes a lower bound on both the multifractal spectrum C(h), which appears naturally in the Large Deviation formulation of the MFM, and on h the standard scaling parameter. These bounds respectively take the form: (i) C(h)≥1−3h, which is consistent with Kolmogorov’s four-fifths law ; and (ii) h≥−23. The latter is significant as it prevents solutions from approaching the Navier–Stokes singular set of Caffarelli, Kohn and Nirenberg.This article is part of the theme issue ‘Scaling the turbulence edifice (part 1)’.
AU  - Gibbon,JD
AU  - Dubrulle,B
DO  - 10.1098/rsta.2021.0092
PY  - 2022///
SN  - 1364-503X
TI  - A correspondence between the multifractal model of turbulence and the Navier-Stokes equations
T2  - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rsta.2021.0092
UR  - http://hdl.handle.net/10044/1/89374
VL  - 380
ER  -

Download

ProfessorJohnGibbon

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)