Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2

Yan Liu, Xulong Qin, Jincheng Shi and Wenjing Zhi

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: The structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2 was studied. We assumed that the viscous fluid was governed by the Boussinesq equations in Ω1, while in Ω2, we supposed that the flow satisfies the Darcy equations. Some interfacing boundary conditions are imposed. The traditional Poincare´ inequalities can’t be used. With the aid of some useful a priori bounds and some new Poincare´ inequalities, we were able to demonstrate the continuous dependence result on the interface coefficient α. The result showed that the structural stability is valid for the interfacing problem.

Keywords: Structural stability; Boussinesq equations; Darcy equations; Interface boundary condition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005774

DOI: 10.1016/j.amc.2021.126488

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