188 citations · 1.4k across the 48 of their papers we have counts for
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Intermittency and regularity issues in 3D Navier-Stokes turbulence
J. D. Gibbon, Charles R. Doering
Two related open problems in the theory of 3D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field. Dissipati…
Low-wavenumber forcing and turbulent energy dissipation
Charles R. Doering, Nikola P. Petrov
A popular method of forcing the fluid in Direct Numerical Simulations of turbulence is to take the body force proportional to the projection of the velocity of the fluid onto its l…
Extinction times for birth-death processes: exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation
Charles R. Doering, Khachik V. Sargsyan, Leonard M. Sander
We consider extinction times for a class of birth-death processes commonly found in applications, where there is a control parameter which determines whether the population quickly…