Name
Abstract | ||
|---|---|---|
We study a coupled system of the Navier-Stokes equation and the equation of conservation of mass in a 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 use a fixed point method to prove the existence and uniqueness of the classic solution to the initial-boundary value problem and discuss the continuity of dependence of the solution and its derivatives on initial, boundary, and forcing functions and their derivatives. We develop a numerical scheme that generates discretized solutions, and we also prove the convergence of the scheme. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S0036139902415294 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
arterial network,blood flow,hyperbolic partial differential equations,initial-boundary value problems,numerical scheme | Convergence (routing),Uniqueness,Boundary value problem,Discretization,Mathematical optimization,Blood flow,Mathematical analysis,Fixed-point iteration,Mathematics,Conservation of mass,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
64 | 2 | 0036-1399 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anthony Curcio | 1 | 0 | 0.34 |
| M. E. Clark | 2 | 1 | 0.82 |
| Meide Zhao | 3 | 18 | 2.50 |
| Weihua Ruan | 4 | 0 | 0.34 |