16 citations · 26 across the 4 of their papers we have counts for
4 papers
Forcing regimes in the two-dimensional Navier-Stokes equations
Ritwik Mukherjee, John D. Gibbon, Dario Vincenzi
In the standard theoretical setting of body-forced turbulence, the forcing that sustains the flow is concentrated in a narrow range of length scales. However, in experiments of fra…
Dynamics of vorticity moments in shell models of turbulence: A comparison with the Navier-Stokes equations
John D. Gibbon, Dario Vincenzi
Shell models allow much greater scale separations than those presently achievable with direct numerical simulations of the Navier-Stokes equations. Consequently, they are an invalu…
Conditional regularity of solutions of the three dimensional Navier-Stokes equations and implications for intermittency
J. D. Gibbon
Two unusual time-integral conditional regularity results are presented for the three-dimensional Navier-Stokes equations. The ideas are based on -norms of the vorticity, de…
Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number
J. D. Gibbon, G. A. Pavliotis
The tradition in Navier-Stokes analysis of finding estimates in terms of the Grashof number $\bG$, whose character depends on the ratio of the forcing to the viscosity , means t…