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- W3164958326 abstract "Abstract A priori bounds were derived for the flow in a bounded domain for the viscous-porous interfacing fluids. We assumed that the viscous fluid was slow in $Omega _{1}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:math> , which was governed by the Boussinesq equations. For a porous medium in $Omega _{2}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> , we supposed that the flow satisfied the Darcy equations. With the aid of these a priori bounds we were able to demonstrate the result of the continuous dependence type for the Boussinesq coefficient λ . Following the method of a first-order differential inequality, we can further obtain the result that the solution depends continuously on the interface boundary coefficient α . These results showed that the structural stability is valid for the interfacing problem." @default.
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- W3164958326 date "2021-03-08" @default.
- W3164958326 modified "2023-09-25" @default.
- W3164958326 title "Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain" @default.
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