We describe a flow model that generalizes ordinary network flows the same way as stable matchings generalize the bipartite matching problem. We prove that there always exists a stable flow, generalize the lattice structure of stable marriages to stable flows and prove a flow extension of Pym’s linking theorem.

the term hydrological drought is applied to represent low water levels in streams, reservoirs and lakes as well as a low groundwater level. base flow index (bfi) as one of low flow indices gives the ratio of base flow to total flow and investigates basin’s ability to store and release of water in drought periods. the objectives of this study were to determine bfi and to validate this index in d...

Let f:Rn→R, n≥2, be a real analytic function. In this paper we study the stable set of gradient flow x˙=∇f(x) at critical point f. particular present simple topological conditions which imply that contains an infinite family trajectories, or has non-empty interior.