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John D. Gibbon

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17

Dynamics of vorticity moments in shell models of turbulence: A comparison with the Navier-Stokes equations

10 December 2024 by John Gibbon and Dario Vincenzi

Fluid Dynamics, Analysis of PDEs

Phase transitions in the fractional three-dimensional Navier-Stokes equations

20 February 2024 by Daniel Boutros and John Gibbon

Analysis of PDEs, Chaotic Dynamics

Identifying the multifractal set on which energy dissipates in a turbulent Navier-Stokes fluid

3 January 2023 by John Gibbon

Fluid Dynamics, Chaotic Dynamics

How to extract a spectrum from hydrodynamic equations

9 December 2021 by John Gibbon and Dario Vincenzi

Fluid Dynamics, Chaotic Dynamics

The Variable Density Model for the Rayleigh-Taylor Instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations

30 July 2021 by John Gibbon

Fluid Dynamics, Chaotic Dynamics

Intermittency, cascades and thin sets in three-dimensional Navier-Stokes turbulence

3 November 2020 by John Gibbon

Chaotic Dynamics

How close are shell models to the 3D Navier-Stokes equations?

3 September 2020 by Dario Vincenzi and John Gibbon

Chaotic Dynamics, Fluid Dynamics

Weak and strong solutions of the 3D Navier-Stokes equations and their relation to a chessboard of convergent inverse length scales

25 June 2018 by John Gibbon

Chaotic Dynamics, Fluid Dynamics

The role of BKM-type theorems in 3D Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis

10 November 2017 by John Gibbon and others

Chaotic Dynamics

Integrability of the hyperbolic reduced Maxwell-Bloch equations for strongly correlated Bose-Einstein condensates

12 April 2017 by Alexis Arnaudon and John Gibbon

Mathematical Physics, Quantum Gases

Bounds on solutions of the rotating, stratified, incompressible, non-hydrostatic, three-dimensional Boussinesq equations

23 March 2017 by John Gibbon and Darryl Holm

Chaotic Dynamics

A regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations

17 December 2016 by John Gibbon and others

Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations

9 May 2014 by John Gibbon and others

Chaotic Dynamics

The 3D incompressible Euler equations with a passive scalar: a road to blow-up?

21 February 2013 by John Gibbon and Edriss Titi

Chaotic Dynamics, Mathematical Physics

Length-scale estimates for the LANS-alpha equations in terms of the Reynolds number

28 March 2006 by John Gibbon and Darryl Holm

Chaotic Dynamics

Quaternions and particle dynamics in the Euler fluid equations

13 February 2006 by John Gibbon and others

Chaotic Dynamics

K"ahler Geometry and the Navier-Stokes Equations

9 September 2005 by Ian Roulstone and others

Exactly Solvable and Integrable Systems, Mathematical Physics

A Bound on Mixing Efficiency for the Advection-Diffusion Equation

21 November 2004 by Jean-Luc Thiffeault and others

Fluid Dynamics, Chaotic Dynamics

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Chaotic Dynamics Fluid Dynamics Mathematical Physics Exactly Solvable and Integrable Systems Analysis of PDEs Quantum Gases