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Case studies of extreme weather and climate events are pivotal to understanding their societal impact in the context of sustainability science. To avoid being constrained by the idiosyncrasy of an individual event, a case study must  Ice-coated forest with decapitated trees in southern China.

We investigate the well-posedness of a coupled Stokes-Darcy model with Beavers-Joseph interface boundary conditions. In the steady-state case, the well-posedness is established under the assumption of small coefficient in the Beavers-Joseph interface boundary condition. In the time-dependent case, the well-posedness is established via appropriate time discretization of the problem and a novel scaling of the system under isotropic media assumption. Such coupled systems are crucial to the study of subsurface flow problems, in particular, flows in karst aquifers.