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Networks & Heterogeneous Media

March 2013 , Volume 8 , Issue 1

Special issue

dedicated to Hiroshi Matano on the occasion of his 60th birthday: Part II

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Preface
Henri Berestycki, Danielle Hilhorst, Frank Merle, Masayasu Mimura and Khashayar Pakdaman
2013, 8(1): i-iii doi: 10.3934/nhm.2013.8.1i +[Abstract](675) +[PDF](93.9KB)
Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow
Sigurd Angenent
2013, 8(1): 1-8 doi: 10.3934/nhm.2013.8.1 +[Abstract](1036) +[PDF](380.5KB)
A nonlinear partial differential equation for the volume preserving mean curvature flow
Dimitra Antonopoulou and Georgia Karali
2013, 8(1): 9-22 doi: 10.3934/nhm.2013.8.9 +[Abstract](985) +[PDF](427.6KB)
Reaction-diffusion waves with nonlinear boundary conditions
Narcisa Apreutesei and Vitaly Volpert
2013, 8(1): 23-35 doi: 10.3934/nhm.2013.8.23 +[Abstract](973) +[PDF](345.9KB)
The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison
L’ubomír Baňas, Amy Novick-Cohen and Robert Nürnberg
2013, 8(1): 37-64 doi: 10.3934/nhm.2013.8.37 +[Abstract](1159) +[PDF](2045.6KB)
Growth regulation and the insulin signaling pathway
Peter W. Bates, Yu Liang and Alexander W. Shingleton
2013, 8(1): 65-78 doi: 10.3934/nhm.2013.8.65 +[Abstract](894) +[PDF](412.5KB)
Traveling fronts guided by the environment for reaction-diffusion equations
Henri Berestycki and Guillemette Chapuisat
2013, 8(1): 79-114 doi: 10.3934/nhm.2013.8.79 +[Abstract](1402) +[PDF](648.5KB)
Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes
Leonid Berlyand and Volodymyr Rybalko
2013, 8(1): 115-130 doi: 10.3934/nhm.2013.8.115 +[Abstract](941) +[PDF](458.9KB)
Modeling contact inhibition of growth: Traveling waves
Michiel Bertsch, Masayasu Mimura and Tohru Wakasa
2013, 8(1): 131-147 doi: 10.3934/nhm.2013.8.131 +[Abstract](849) +[PDF](614.8KB)
Archimedean copula and contagion modeling in epidemiology
Jacques Demongeot, Mohamad Ghassani, Mustapha Rachdi, Idir Ouassou and Carla Taramasco
2013, 8(1): 149-170 doi: 10.3934/nhm.2013.8.149 +[Abstract](973) +[PDF](3153.3KB)
Multiple travelling waves for an $SI$-epidemic model
Arnaud Ducrot, Michel Langlais and Pierre Magal
2013, 8(1): 171-190 doi: 10.3934/nhm.2013.8.171 +[Abstract](1120) +[PDF](417.7KB)
Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems
Shin-Ichiro Ei and Toshio Ishimoto
2013, 8(1): 191-209 doi: 10.3934/nhm.2013.8.191 +[Abstract](930) +[PDF](430.8KB)
A spatialized model of visual texture perception using the structure tensor formalism
Grégory Faye and Pascal Chossat
2013, 8(1): 211-260 doi: 10.3934/nhm.2013.8.211 +[Abstract](1328) +[PDF](3007.0KB)
Stochastic control of traffic patterns
Yuri B. Gaididei, Carlos Gorria, Rainer Berkemer, Peter L. Christiansen, Atsushi Kawamoto, Mads P. Sørensen and Jens Starke
2013, 8(1): 261-273 doi: 10.3934/nhm.2013.8.261 +[Abstract](1105) +[PDF](386.5KB)
A short proof of the logarithmic Bramson correction in Fisher-KPP equations
François Hamel, James Nolen, Jean-Michel Roquejoffre and Lenya Ryzhik
2013, 8(1): 275-289 doi: 10.3934/nhm.2013.8.275 +[Abstract](1026) +[PDF](418.7KB)
The existence and uniqueness of unstable eigenvalues for stripe patterns in the Gierer-Meinhardt system
Kota Ikeda
2013, 8(1): 291-325 doi: 10.3934/nhm.2013.8.291 +[Abstract](928) +[PDF](976.3KB)
Spread of viral infection of immobilized bacteria
Don A. Jones, Hal L. Smith and Horst R. Thieme
2013, 8(1): 327-342 doi: 10.3934/nhm.2013.8.327 +[Abstract](994) +[PDF](403.9KB)
Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity
John R. King
2013, 8(1): 343-378 doi: 10.3934/nhm.2013.8.343 +[Abstract](1114) +[PDF](644.1KB)
Traveling fronts of pyramidal shapes in competition-diffusion systems
Wei-Ming Ni and Masaharu Taniguchi
2013, 8(1): 379-395 doi: 10.3934/nhm.2013.8.379 +[Abstract](853) +[PDF](435.2KB)
Pattern forming instabilities driven by non-diffusive interactions
Ivano Primi, Angela Stevens and Juan J. L. Velázquez
2013, 8(1): 397-432 doi: 10.3934/nhm.2013.8.397 +[Abstract](884) +[PDF](647.9KB)

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