Asymptotic Analysis of a Thin Fluid Layer Flow Between Two Moving Surfaces
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Asymptotic Analysis of a Thin Fluid Layer Flow Between Two Moving SurfacesDate
2022-03-01Citation
J.M. Rodríguez, R. Taboada-Vázquez, Asymptotic analysis of a thin fluid layer flow between two moving surfaces, Journal of Mathematical Analysis and Applications, Volume 507, Issue 1, 2022, 125735, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2021.125735. (https://www.sciencedirect.com/science/article/pii/S0022247X21008143)
Abstract
[Abstract]
In this paper we study the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion. Using the asymptotic expansion method we formally justify two models, a lubrication model and a shallow water model, depending on the boundary conditions imposed. Finally, we discuss under what conditions each of the models would be applicable.
Keywords
Fluid mechanics
Lubrication
Shallow waters
Asymptotic analysis
Lubrication
Shallow waters
Asymptotic analysis
Description
Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG
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Rights
Atribución-NoComercial-SinDerivadas 4.0 Internacional
ISSN
0022-247X