RT Journal Article T1 On the Coupling Between Channel Level and Surface Ground-Water Flows A1 Díaz Díaz, Jesús Ildefonso A1 Antontsev, S.N. AB This paper is devoted to a mathematical analysis of some general models of mass transport and other coupled physical processes developed in simultaneous flows of surface, soil and ground waters. Such models are widely used for forecasting (numerical simulation) of a hydrological cycle for concrete territories. The mathematical models that proved a more realistic approach are obtained by combining several mathematical models for local processes. The water-exchange models take into account the following factors: Water flows in confined and unconfined aquifers, vertical moisture migration allowing earth surface evaporation, open-channel flow simulated by one-dimensional hydraulic equations, transport of contamination, etc. These models may have different levels of sophistication. We illustrate the type of mathematical singularities which may appear by considering a simple model on the coupling of a surface flow of surface and ground waters with the flow of a line channel or river. PB Birkhäuser SN 0033-4553 YR 2008 FD 2008-08 LK https://hdl.handle.net/20.500.14352/49918 UL https://hdl.handle.net/20.500.14352/49918 LA eng NO CMAF; University of Lisbon, Portugal NO Secretaria de Estado de Universidades e Investigacion (Spain) NO DGISGPI NO UCM/CM DS Docta Complutense RD 5 abr 2025