A Hyperbolic System in a One-Dimensional Network

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dc.creatorRuan, Weihua
dc.creatorClark, M. E.
dc.creatorZhao, Meide
dc.creatorCurcio, Anthony
dc.date2002-09-09
dc.date.accessioned2026-07-07T04:29:24Z
dc.date.available2026-07-07T04:29:24Z
dc.descriptionWe study a coupled system of Navier-Stokes equation and the equation of conservation of mass in a one-dimensional network. The system models the blood circulation in arterial networks. A special feature of the system is that the equations are coupled through boundary conditions at joints of the network. We prove the existence and uniqueness of the solution to the initial-boundary value problem, discuss the continuity of dependence of the solution and its derivatives on initial, boundary and forcing functions and their derivatives, develop a numerical scheme that generates discretized solutions, and prove the convergence of the scheme.
dc.description35 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0209015
dc.identifierhttp://arxiv.org/abs/math-ph/0209015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57144
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject35L50
dc.titleA Hyperbolic System in a One-Dimensional Network
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