Water unsaturated flow: models, methods, and applications
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Modeling of subsurface processes plays a significant role in many applications in agricultural, environmental and engineering context. Novel numerical methods will be considered, as well as control approaches for managing irrigation will be faced in a theoretical framework and with a simulation point of view. Subsurface processes are characterized by high non-linearities and even discontinuities, sometimes memory terms in advection-diffusion PDEs. We consider new modeling approaches for describing root water uptake with memory terms, mass conservative numerical methods for transport equations, control techniques in unsaturated flow equations.
