84 citations · 466 across the 37 of their papers we have counts for
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Identifying the multifractal set on which energy dissipates in a turbulent Navier-Stokes fluid
John D. Gibbon
The rich multifractal properties of fluid turbulence illustrated by the work of Parisi and Frisch are related explicitly to Leray's weak solutions of the three-dimensional Navier-S…
How to extract a spectrum from hydrodynamic equations
John D. Gibbon, Dario Vincenzi
Practical results gained from statistical theories of turbulence usually appear in the form of an inertial range energy spectrum and a cut-off wave-numb…
The Variable Density Model for the Rayleigh-Taylor Instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations
John D. Gibbon
It is shown how the variable density model (VDM) that governs the Rayleigh-Taylor instability (RTI) for the miscible mixing of two incompressible fluids can be transformed into a d…
A correspondence between the multifractal model of turbulence and the Navier-Stokes equations
B. Dubrulle, J. D. Gibbon
We study a correspondence between the multifractal model of turbulence and the Navier-Stokes equations in spatial dimensions by comparing their respective dissipation length sc…
Lyapunov dimension of elastic turbulence
Emmanuel Lance Christopher VI Medillo Plan, Anupam Gupta, Dario Vincenzi +1
Low-Reynolds-number polymer solutions exhibit a chaotic behaviour known as 'elastic turbulence' when the Weissenberg number exceeds a critical value. The two-dimensional Oldroyd-B…
A regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations
John D. Gibbon, Nairita Pal, Anupam Gupta +1
We consider the 3D Cahn-Hilliard equations coupled to, and driven by, the forced, incompressible 3D Navier-Stokes equations. The combination, known as the Cahn-Hilliard-Navier-Stok…