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math.AP2026
Asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones
Kaijian Sha, Xiaoming Wang, Hao Wu
We study the asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones in the material properties. As the transition-layer…
math.AP2026
Vanishing permeability limit of convection in multilayer porous media
Kaijian Sha, Xiaoming Wang
We analyze the asymptotic behavior of the Boussinesq-Darcy system describing convection in layered porous media in the limit where the permeability of one layer tends to zero. We s…
math.AP2025
Vanishing layer thickness limit of convection in multilayer porous media
Kaijian Sha, Xiaoming Wang
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…