# Reversible Viscosity and Navier–Stokes Fluids

@article{Gallavotti2019ReversibleVA, title={Reversible Viscosity and Navier–Stokes Fluids}, author={Giovanni Gallavotti}, journal={Stochastic Dynamics Out of Equilibrium}, year={2019} }

Exploring the possibility of describing a fluid flow via a time-reversible equation and its relevance for the fluctuations statistics in stationary turbulent (or laminar) incompressible Navier-Stokes flows.

## 6 Citations

### Equivalent Ensembles, Turbulence and Fluctuation Theorem

- Physics
- 2020

Stationary states of Navier-Stokes fluids have been proposed to be described equivalently by several alternative equations, besides the NS equation itself. In particular equivalence between the NS…

### Reversibility, Irreversibility, Friction and nonequilibrium ensembles in N-S equations

- Physics
- 2022

: Viscosity, as a physical property of ﬂuids, re-ﬂects an average eﬀect over a chaotic microscopic motion described by Hamiltonian equations. It is proposed, as an example, that stationary states of…

### Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing

- Mathematics, PhysicsJournal of Statistical Physics
- 2021

Incompressible fluid equations are studied with UV cut-off and in periodic boundary conditions. Properties of the resulting ODEs holding uniformly in the cut-off are considered and, in particular,…

### Ensembles, turbulence and fluctuation theorem

- PhysicsThe European physical journal. E, Soft matter
- 2020

The paradigmatic example of irreversible evolution, the 2D Navier-Stokes incompressible flow is considered, to show how universal properties of fluctuations in systems evolving irreversibily could be predicted in a general context.

### Navier-Stokes and equivalence conjectures

- Mathematics
- 2022

: General considerations on the Equivalence conjectures and a review of few mathematical results.

### Equivalence of nonequilibrium ensembles in turbulence models.

- PhysicsPhysical review. E
- 2018

The equivalence of reversible and irreversible ensembles for the case of a multiscale shell model of turbulence is tested and it is verified that the equivalence is obeyed for the mean values of macroscopic observables, up to an error that vanishes as the system becomes more and more chaotic.

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