## 9 Citations

### Finite-time localized singularities as a mechanism for turbulent dissipation

- PhysicsPhysical Review Fluids
- 2020

We provide a scenario for a singularity-mediated turbulence based on the self-focusing non-linear Schrodinger equation, for which sufficiently smooth initial states leads to blow-up in finite time.…

### Scaling laws in turbulence.

- PhysicsChaos
- 2020

This work proposes an explicit relationship between the Reynolds stress in the turbulent wake and quantities depending on the velocity field and takes the form of an integrodifferential equation for the velocity which is eventually solved for a Poiseuille flow in a circular pipe.

### Turbulence in a wedge: The case of the mixing layer

- PhysicsPhysical Review Fluids
- 2021

The ultimate goal of a sound theory of turbulence in fluids is to close in a rational way the Reynolds equations, namely to express the tensor of turbulent stress as a function of the time average of…

### Anisotropic finite-time singularity in the three-dimensional axisymmetric Euler equation with a swirl

- Mathematics
- 2021

The search of finite-time singularity solutions of Euler equations is considered for the case of an incompressible and inviscid fluid. Under the assumption that a finite-time blow-up solution may be…

### Some topological aspects of fluid dynamics

- PhysicsJournal of Fluid Mechanics
- 2021

Abstract An informal introduction is provided to a range of topics in fluid dynamics having a topological character. These topics include flows with boundary singularities, Lagrangian chaos,…

### Conservation of the circulation for the Euler and Euler-Leray equations

- MathematicsPhysical Review Fluids
- 2019

It is well-known that the circulation of the velocity field of a fluid along a closed material curve is conserved for any solution of the Euler equation. We offer a slightly more explicit proof of…

### Wave-particle duality: tribute to the memory of Yves Couder

- Physics
- 2020

The story of wave-particle duality in quantum mechanics has been told a thousand times. This modest contribution is to get back to a few points, including memories of a discussion we had on a…

### Dynamique des fluides et Production vocale

- Physics
- 2018

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and…

### Potential anisotropic finite-time singularity in the three-dimensional axisymmetric Euler equations

- Physical Review Fluids
- 2022

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### Turbulence: Does Energy Cascade Exist?

- Physics
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To answer the question whether a cascade of energy exists or not in turbulence, we propose a set of correlation functions able to test if there is an irreversible transfert of energy, step by step,…

### Equation for self-similar singularity of Euler 3D

- Mathematics
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The equations for a self-similar solution of an inviscid incompressible fluid are mapped into an integral equation which hopefully can be solved by iteration. It is argued that the exponent of the…

### The nature of turbulent motion at large wave-numbers

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1949

This paper presents some measurements which describe the distribution of turbulent energy over Fourier components of large wave-number. According to Kolmogoroff’s theory these components of the…

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- Physics, Environmental Science
- 2018

AbstractThis article describes the planning, set-up, turbulence characterization and analysis of measurements of a passive grid turbulence experiment that was carried out in the S1MA wind-tunnel from…

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- PhysicsNature
- 1980

Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.…

### The Navier ∼ Stokes Problem in the 21st Century

- Mathematics
- 2016

Presentation of the Clay Millennium Prizes Regularity of the three-dimensional fluid flows: a mathematical challenge for the 21st century The Clay Millennium Prizes The Clay Millennium Prize for the…

### Rayleigh-Bénard experiment in liquid helium ; frequency locking and the onset of turbulence

- Physics
- 1979

2014 In a Rayleigh-Bénard experiment in liquid helium, we study the time-dependent regimes, above the onset of convection, in a parallelepipedic cell with two convective rolls of oblate cross-section…