scholarly journals Finite-Time Analysis and Restarting Scheme for Linear Two-Time-Scale Stochastic Approximation

2021 ◽  
Vol 59 (4) ◽  
pp. 2798-2819
Author(s):  
Thinh T. Doan
Keyword(s):  
Stochastic Approximation ◽  
Finite Time ◽  
Time Scale ◽  
Time Analysis

scholarly journals Surface viscosity and Marangoni stresses at surfactant laden interfaces

2016 ◽  
Vol 792 ◽  
pp. 712-739 ◽  
Author(s):  
Gwynn J. Elfring ◽  
L. Gary Leal ◽  
Todd M. Squires
Keyword(s):  
Material Properties ◽  
Finite Time ◽  
Time Scale ◽  
Surfactant Concentration ◽  
Marangoni Flow ◽  
Force Measurements ◽  
Surface Viscosity ◽  
Surface Shear ◽  
Marangoni Force ◽  
Soluble Surfactant

We calculate here the force on a probe at a viscous, compressible interface, laden with soluble surfactant that equilibrates on a finite time scale. The motion of the probe through the interface drives variations in the surfactant concentration at the interface that in turn leads to a Marangoni flow that contributes to the force on the probe. We demonstrate that the Marangoni force on the probe depends non-trivially on the surface shear and dilatational viscosities of the interface indicating the difficulty in extracting these material properties from force measurements at compressible interfaces.

scholarly journals Distributed Detection: Finite-Time Analysis and Impact of Network Topology

2016 ◽  
Vol 61 (11) ◽  
pp. 3256-3268 ◽  
Author(s):  
Shahin Shahrampour ◽  
Alexander Rakhlin ◽  
Ali Jadbabaie
Keyword(s):  
Network Topology ◽  
Finite Time ◽  
Distributed Detection ◽  
Time Analysis
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