188 citations · 1.4k across the 48 of their papers we have counts for
4 papers · 2 filters
Energy Dissipation in Fractal-Forced Flow
Alexey Cheskidov, Charles R. Doering, Nikola P. Petrov
The rate of energy dissipation in solutions of the body-forced 3-d incompressible Navier-Stokes equations is rigorously estimated with a focus on its dependence on the nature of th…
Stirring up trouble: Multi-scale mixing measures for steady scalar sources
Tiffany A. Shaw, Jean-Luc Thiffeault, Charles R. Doering
The mixing efficiency of a flow advecting a passive scalar sustained by steady sources and sinks is naturally defined in terms of the suppression of bulk scalar variance in the pre…
Energy and enstrophy dissipation in steady state 2-d turbulence
Alexandros Alexakis, Charles R. Doering
Upper bounds on the bulk energy dissipation rate and enstrophy dissipation rate are derived for the statistical steady state of body forced two dimensional turbulence in a…
Failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers
C. R. Doering, B. Eckhardt, J. Schumacher
Energy theory for incompressible Newtonian fluids is, in many cases, capable of producing strong absolute stability criteria for steady flows. In those fluids the kinetic energy na…