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Networks & Heterogeneous Media

September 2010 , Volume 5 , Issue 3

A special issue
New Trends in Model Coupling, Theory, Numerics and Applications

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Preface
Frédéric Coquel, Edwige Godlewski, Jean-Marc Hérard and Jacques Segré
2010, 5(3): i-ii doi: 10.3934/nhm.2010.5.3i +[Abstract](1037) +[PDF](46.6KB)
Small solids in an inviscid fluid
Boris Andreianov, Frédéric Lagoutière, Nicolas Seguin and Takéo Takahashi
2010, 5(3): 385-404 doi: 10.3934/nhm.2010.5.385 +[Abstract](814) +[PDF](688.0KB)
A 2-adic approach of the human respiratory tree
Frédéric Bernicot, Bertrand Maury and Delphine Salort
2010, 5(3): 405-422 doi: 10.3934/nhm.2010.5.405 +[Abstract](816) +[PDF](231.8KB)
Beyond multiscale and multiphysics: Multimaths for model coupling
Xavier Blanc, Claude Le Bris, Frédéric Legoll and Tony Lelièvre
2010, 5(3): 423-460 doi: 10.3934/nhm.2010.5.423 +[Abstract](1082) +[PDF](544.0KB)
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux
Raimund Bürger, Kenneth H. Karlsen and John D. Towers
2010, 5(3): 461-485 doi: 10.3934/nhm.2010.5.461 +[Abstract](860) +[PDF](950.7KB)
Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
Filipa Caetano, Martin J. Gander, Laurence Halpern and Jérémie Szeftel
2010, 5(3): 487-505 doi: 10.3934/nhm.2010.5.487 +[Abstract](956) +[PDF](521.5KB)
Theoretical and numerical aspects of the interfacial coupling: The scalar Riemann problem and an application to multiphase flows
Christophe Chalons
2010, 5(3): 507-524 doi: 10.3934/nhm.2010.5.507 +[Abstract](782) +[PDF](233.5KB)
A distributed model of traffic flows on extended regions
Fabio Della Rossa, Carlo D’Angelo and Alfio Quarteroni
2010, 5(3): 525-544 doi: 10.3934/nhm.2010.5.525 +[Abstract](1216) +[PDF](3304.7KB)
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods
Jérôme Droniou
2010, 5(3): 545-563 doi: 10.3934/nhm.2010.5.545 +[Abstract](720) +[PDF](5497.3KB)
A review of conservation laws on networks
Mauro Garavello
2010, 5(3): 565-581 doi: 10.3934/nhm.2010.5.565 +[Abstract](1081) +[PDF](275.8KB)
Modeling multiphase non-Newtonian polymer flow in IPARS parallel framework
Changli Yuan, Mojdeh Delshad and Mary F. Wheeler
2010, 5(3): 583-602 doi: 10.3934/nhm.2010.5.583 +[Abstract](1100) +[PDF](649.4KB)
Application of a coupled FV/FE multiscale method to cement media
Thomas Abballe, Grégoire Allaire, Éli Laucoin and Philippe Montarnal
2010, 5(3): 603-615 doi: 10.3934/nhm.2010.5.603 +[Abstract](840) +[PDF](545.4KB)
On vanishing viscosity approximation of conservation laws with discontinuous flux
Boris Andreianov, Kenneth H. Karlsen and Nils H. Risebro
2010, 5(3): 617-633 doi: 10.3934/nhm.2010.5.617 +[Abstract](1103) +[PDF](688.0KB)
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
Clément Cancès
2010, 5(3): 635-647 doi: 10.3934/nhm.2010.5.635 +[Abstract](801) +[PDF](225.1KB)
Some attempts to couple distinct fluid models
Jean-Marc Hérard and Olivier Hurisse
2010, 5(3): 649-660 doi: 10.3934/nhm.2010.5.649 +[Abstract](1108) +[PDF](222.9KB)
The computation of nonclassical shock waves with a heterogeneous multiscale method
Frederike Kissling and Christian Rohde
2010, 5(3): 661-674 doi: 10.3934/nhm.2010.5.661 +[Abstract](1045) +[PDF](547.1KB)

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