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Volume 1, 2006

Networks & Heterogeneous Media

December 2006 , Volume 1 , Issue 4

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Special issue from the launching meeting of networks and heterogeneous media
Benedetto Piccoli
2006, 1(4): i-ii doi: 10.3934/nhm.2006.1.4i +[Abstract](715) +[PDF](32.8KB)
The impact of cell crowding and active cell movement on vascular tumour growth
Russell Betteridge, Markus R. Owen, H.M. Byrne, Tomás Alarcón and Philip K. Maini
2006, 1(4): 515-535 doi: 10.3934/nhm.2006.1.515 +[Abstract](1058) +[PDF](665.5KB)
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit
Hiroshi Matano, Ken-Ichi Nakamura and Bendong Lou
2006, 1(4): 537-568 doi: 10.3934/nhm.2006.1.537 +[Abstract](890) +[PDF](401.5KB)
The many facets of internet topology and traffic
D. Alderson, H. Chang, M. Roughan, S. Uhlig and W. Willinger
2006, 1(4): 569-600 doi: 10.3934/nhm.2006.1.569 +[Abstract](1126) +[PDF](609.5KB)
On the variational theory of traffic flow: well-posedness, duality and applications
Carlos F. Daganzo
2006, 1(4): 601-619 doi: 10.3934/nhm.2006.1.601 +[Abstract](1831) +[PDF](337.5KB)
Exogenous control of vascular network formation in vitro: a mathematical model
V. Lanza, D. Ambrosi and L. Preziosi
2006, 1(4): 621-637 doi: 10.3934/nhm.2006.1.621 +[Abstract](928) +[PDF](470.4KB)
Hyperbolic-elliptic models for well-reservoir flow
Steinar Evje and Kenneth H. Karlsen
2006, 1(4): 639-673 doi: 10.3934/nhm.2006.1.639 +[Abstract](981) +[PDF](577.0KB)
Optimal control for continuous supply network models
Claus Kirchner, Michael Herty, Simone Göttlich and Axel Klar
2006, 1(4): 675-688 doi: 10.3934/nhm.2006.1.675 +[Abstract](1083) +[PDF](314.5KB)
On the control volume finite element methods and their applications to multiphase flow
Zhangxin Chen
2006, 1(4): 689-706 doi: 10.3934/nhm.2006.1.689 +[Abstract](1096) +[PDF](260.2KB)

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