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- W2071236475 abstract "Abstract The initial value problem of Burgers' equation on a branching structure consisting of N semi-infinite line segments radiating from a common junction is solved in terms of a set of N linear integral equations of Volterra type involving N + 1 unknowns, coupled by a single nonlinear constraint ensuring current conservation at the junction. We outline an iterative scheme for solving these integral equations, and illustrate their application to physical problems by considering a simple phenomenological model of road traffic." @default.
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- W2071236475 date "1997-04-01" @default.
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- W2071236475 title "Burgers' equation on a branching structure" @default.
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- W2071236475 doi "https://doi.org/10.1016/s0375-9601(97)00172-2" @default.
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