Cesmelioglu, AycilRivière, Béatrice M.2018-06-192018-06-192009-11Cesmelioglu, Aycil and Rivière, Béatrice M.. "Analysis of Weak Solutions For the Fully Coupled Stokes-Darcy-Transport Problem." (2009) <a href="https://hdl.handle.net/1911/102139">https://hdl.handle.net/1911/102139</a>.https://hdl.handle.net/1911/102139This paper analyzes the surface/subsurface flow coupled with transport. The flow is modeled by the coupling of Stokes and Darcy equations. The transport is modeled by a convection-dominated parabolic equation. The two-way coupling between flow and transport is nonlinear and it is done via the velocity field and the viscosity. This problem arises from a variety of natural phenomena such as the contamination of the groundwater through rivers. The main result is existence and stability bounds of a weak solution.26 ppengTechnical reportTR09-38