Patrone, P.
, Li, Q.
, Cooksey, G.
and Kearsley, A.
(2020),
Measuring Microfluidic Flow Rates: Monotonicity, Convexity and Uncertainty, Applied Mathematics Letters, [online], https://doi.org/10.1016/j.aml.2020.106694, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=930285
(Accessed November 26, 2024)
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Measuring Microfluidic Flow Rates: Monotonicity, Convexity and Uncertainty
Published
Author(s)
, Qing Hai Li, ,
Abstract
A class of non-linear integro-differential equations characterizing microfluidic measurements is considered. Under reasonable conditions, these non-linear integro-differential equations admit solutions that are convex functions of an interesting flow-rate model problem parameter. A novel element of the analysis is the elevation of this parameter to an independent variable through recasting of the problem as a partial-differential equation (PDE) by employing ordinary differential equations (ODE) theory.Citation
Applied Mathematics Letters
Pub Type
Journals
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Keywords
Monotonicity, Convexity, Uncertainty
Citation
Issues
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Created August 19, 2020, Updated October 12, 2021