On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows
Vincent J. Ervin, Michaela Kubacki, William Layton, Marina Moraiti, Zhiyong Si, Cătălin Trenchea · Axioms · 2015
There has been a surge of work on models for coupling surface-water with groundwater flows which is at its core the Stokes-Darcy problem. The resulting (Stokes-Darcy) fluid velocity is important because the flow transports contaminants. The analysis of models including the transport of contaminants has, however, focused on a quasi-static Stokes-Darcy model. Herein we consider the fully evolutionary system including contaminant transport and analyze its quasi-static limits.