Vanishing layer thickness limit of convection in multilayer porous media

2025/11/29 by Kaijian Sha, Xiaoming Wang, Sha, Kaijian +1
Mathematics · Engineering · Computer Science · #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.2512.00430

Abstract

Within the Darcy-Boussinesq framework for convection in multilayered porous media, we investigate the singular limit in which the thickness of one layer tends to zero. We establish that the solution of the full system converges to that of the corresponding limiting model with one fewer layer. The convergence is established in two complementary senses: (i) strong L²-convergence over arbitrary finite time intervals, and (ii) upper semi-continuity of the global attractors describing the large-time asymptotic behavior.

Citations

• Sharp Material Interface Limit of the Darcy-Boussinesq System
• Well-posedness and regularity of the Darcy-Boussinesq system in layered porous media
• The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition
• The Fluid Mechanics of Carbon Dioxide Sequestration

Related

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• Well-posedness and regularity of the Darcy-Boussinesq system in layered porous media
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