Abstract The structural stability for the solution of the Forchheimer fluid equations interfacing with a Darcy fluid equations in a bounded region in?R3?is studied. Assumed that the viscous fluid be governed by the Forchheimer equations in Ω1,while in Ω2?,the fluid satisfy the Darcy equations.With the aid of some priori bounds,we formulate a differential inequality and demonstrate the convergence result for the Forchheimer coefficient b.
Received: 08 December 2019
Published: 20 January 2021
SHI Jincheng, LI Yuanfei. Structural stability of the Forchheimer-Darcy fluid in a bounded domain. Journal of Zhejiang University (Science Edition), 2021, 48(1): 57-63.
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