Commutation of differentiation and averaging operations


by plasmoid
Tags: average, calculus, turbulence
plasmoid
plasmoid is offline
#1
Apr3-11, 02:08 PM
P: 15
I've been studying Turbulence, and there's a lot of averaging of differential equations involved. The books I've seen remark offhandedly that differentiation and averaging commute


for eg. < [tex]\frac{df}{dt}[/tex] > = [tex]\frac{d<f>}{dt}[/tex]

Here < > is temporal averaging. If the differentiation is w.r.t. a spatial coordinate it makes sense, but could someone help me with the above equation?
Phys.Org News Partner Physics news on Phys.org
Sensitive detection method may help impede illicit nuclear trafficking
CERN: World-record current in a superconductor
Beam on target: CEBAF accelerator achieves 12 GeV commissioning milestone

Register to reply

Related Discussions
Commutation of differentiation and averaging operations Calculus 7
Matlab - averaging Math & Science Software 17
Averaging errors Precalculus Mathematics Homework 4
Averaging of velocities! Introductory Physics Homework 14
Signal averaging Electrical Engineering 27