2 papers
math.AP2025
Sharp Material Interface Limit of the Darcy-Boussinesq System
Hongjie Dong, Xiaoming Wang
We investigate the sharp material interface limit of the Darcy-Boussinesq model for convection in layered porous media with diffused material interfaces, which allow a gradual tran…
math.AP2024
Well-posedness and regularity of the Darcy-Boussinesq system in layered porous media
Yining Cao, Weisheng Niu, Xiaoming Wang
We establish the existence of global weak solution in 2D and 3D, as well as the uniqueness of weak solution in 2D, for the Darcy-Boussinesq model for convection in layered porous m…