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Spontaneous stochasticity amplifies even thermal noise to the largest scales of turbulence in a few eddy turnover times
D Bandak, AA Mailybaev, GL Eyink, N Goldenfeld - Physical review letters, 2024 - APS
How predictable are turbulent flows? Here, we use theoretical estimates and shell model
simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the …
simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the …
Onsager's 'ideal turbulence'theory
G Eyink - Journal of Fluid Mechanics, 2024 - cambridge.org
In 1945–1949, Lars Onsager made an exact analysis of the high-Reynolds-number limit for
individual turbulent flow realisations modelled by incompressible Navier–Stokes equations …
individual turbulent flow realisations modelled by incompressible Navier–Stokes equations …
[کتاب][B] The mathematical analysis of the incompressible Euler and Navier-Stokes equations: an introduction
J Bedrossian, V Vicol - 2022 - books.google.com
The aim of this book is to provide beginning graduate students who completed the first two
semesters of graduate-level analysis and PDE courses with a first exposure to the …
semesters of graduate-level analysis and PDE courses with a first exposure to the …
Scaling exponents saturate in three-dimensional isotropic turbulence
KP Iyer, KR Sreenivasan, PK Yeung - Physical Review Fluids, 2020 - APS
From a database of direct numerical simulations of homogeneous and isotropic turbulence,
generated in periodic boxes of various sizes, we extract the spherically symmetric part of …
generated in periodic boxes of various sizes, we extract the spherically symmetric part of …
The inviscid limit for the Navier–Stokes equations with data analytic only near the boundary
I Kukavica, V Vicol, F Wang - Archive for Rational Mechanics and Analysis, 2020 - Springer
We address the inviscid limit for the Navier–Stokes equations in a half space, with initial
datum that is analytic only close to the boundary of the domain, and that has Sobolev …
datum that is analytic only close to the boundary of the domain, and that has Sobolev …
An Onsager singularity theorem for Leray solutions of incompressible Navier–Stokes
We study in the inviscid limit the global energy dissipation of Leray solutions of
incompressible Navier–Stokes on the torus, assuming that the solutions have norms for …
incompressible Navier–Stokes on the torus, assuming that the solutions have norms for …
Josephson-Anderson relation and the classical D'Alembert paradox
GL Eyink - Physical Review X, 2021 - APS
Generalizing the prior work of PW Anderson and ER Huggins, we show that a “detailed
Josephson-Anderson relation” holds for drag on a finite body held at rest in a classical …
Josephson-Anderson relation” holds for drag on a finite body held at rest in a classical …
On the energy and helicity conservation of the incompressible Euler equations
Y Wang, W Wei, G Wu, Y Ye - Journal of Nonlinear Science, 2024 - Springer
In this paper, we are concerned with the minimal regularity of weak solutions implying the
law of balance for both energy and helicity in the incompressible Euler equations. In the …
law of balance for both energy and helicity in the incompressible Euler equations. In the …
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment
TD Drivas - … Transactions of the Royal Society A, 2022 - royalsocietypublishing.org
A defining feature of three-dimensional hydrodynamic turbulence is that the rate of energy
dissipation is bounded away from zero as viscosity is decreased (Reynolds number …
dissipation is bounded away from zero as viscosity is decreased (Reynolds number …
[HTML][HTML] Energy conservation for weak solutions of incompressible fluid equations: The Hölder case and connections with Onsager's conjecture
LC Berselli - Journal of Differential Equations, 2023 - Elsevier
In this paper we give elementary proofs of energy conservation for weak solutions to the
Euler and Navier-Stokes equations in the class of Hölder continuous functions, relaxing …
Euler and Navier-Stokes equations in the class of Hölder continuous functions, relaxing …