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Networks & Heterogeneous Media (NHM) offers a strong combination of three features: Interdisciplinary character, specific focus, and deep mathematical content. Also, the journal aims to create a link between the discrete and the continuous communities, which distinguishes it from other journals with strong PDE orientation.

NHM publishes original contributions of high quality in networks, heterogeneous media and related fields. NHM is thus devoted to research work on complex media arising in mathematical, physical, engineering, socio-economical and bio-medical problems.

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Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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A 2-dimensional shape optimization problem for tree branches
Alberto Bressan and Sondre Tesdal Galtung
2021, 16(1) : 1-29 doi: 10.3934/nhm.2020031 +[Abstract](455) +[HTML](156) +[PDF](681.95KB)
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini and Thomas Jung
2021, 16(1) : 31-47 doi: 10.3934/nhm.2020032 +[Abstract](333) +[HTML](121) +[PDF](1281.65KB)
Pointwise long time behavior for the mixed damped nonlinear wave equation in $ \mathbb{R}^n_+ $
Linglong Du and Min Yang
2021, 16(1) : 49-67 doi: 10.3934/nhm.2020033 +[Abstract](319) +[HTML](109) +[PDF](549.73KB)
A two-dimensional multi-class traffic flow model
Caterina Balzotti and Simone Göttlich
2021, 16(1) : 69-90 doi: 10.3934/nhm.2020034 +[Abstract](319) +[HTML](120) +[PDF](5537.77KB)
A new model for the emergence of blood capillary networks
Pedro Aceves-Sanchez, Benjamin Aymard, Diane Peurichard, Pol Kennel, Anne Lorsignol, Franck Plouraboué, Louis Casteilla and Pierre Degond
2021, 16(1) : 91-138 doi: 10.3934/nhm.2021001 +[Abstract](296) +[HTML](108) +[PDF](1922.46KB)
Periodic consensus in network systems with general distributed processing delays
Yicheng Liu, Yipeng Chen, Jun Wu and Xiao Wang
2021, 16(1) : 139-153 doi: 10.3934/nhm.2021002 +[Abstract](264) +[HTML](118) +[PDF](4743.94KB)
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
M.A.J Chaplain and G. Lolas
2006, 1(3) : 399-439 doi: 10.3934/nhm.2006.1.399 +[Abstract](4519) +[PDF](993.7KB) Cited By(123)
Gas flow in pipeline networks
Mapundi K. Banda, Michael Herty and Axel Klar
2006, 1(1) : 41-56 doi: 10.3934/nhm.2006.1.41 +[Abstract](3939) +[PDF](3881.2KB) Cited By(108)
Distributed model predictive control of irrigation canals
Rudy R. Negenborn, Peter-Jules van Overloop, Tamás Keviczky and Bart De Schutter
2009, 4(2) : 359-380 doi: 10.3934/nhm.2009.4.359 +[Abstract](4042) +[PDF](281.3KB) Cited By(98)
Spreading speed revisited: Analysis of a free boundary model
Gary Bunting, Yihong Du and Krzysztof Krakowski
2012, 7(4) : 583-603 doi: 10.3934/nhm.2012.7.583 +[Abstract](4091) +[PDF](737.9KB) Cited By(93)
Coupling conditions for gas networks governed by the isothermal Euler equations
Mapundi K. Banda, Michael Herty and Axel Klar
2006, 1(2) : 295-314 doi: 10.3934/nhm.2006.1.295 +[Abstract](3469) +[PDF](1720.1KB) Cited By(83)
Explicit solutions of some linear-quadratic mean field games
Martino Bardi
2012, 7(2) : 243-261 doi: 10.3934/nhm.2012.7.243 +[Abstract](4103) +[PDF](433.5KB) Cited By(75)
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](4228) +[PDF](337.5KB) Cited By(70)
Long time average of mean field games
Pierre Cardaliaguet, Jean-Michel Lasry, Pierre-Louis Lions and Alessio Porretta
2012, 7(2) : 279-301 doi: 10.3934/nhm.2012.7.279 +[Abstract](3070) +[PDF](429.4KB) Cited By(65)
Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks
Serge Nicaise and Julie Valein
2007, 2(3) : 425-479 doi: 10.3934/nhm.2007.2.425 +[Abstract](2991) +[PDF](509.3KB) Cited By(64)
Large time behavior of nonlocal aggregation models with nonlinear diffusion
Martin Burger and Marco Di Francesco
2008, 3(4) : 749-785 doi: 10.3934/nhm.2008.3.749 +[Abstract](3553) +[PDF](412.0KB) Cited By(56)
Qualitative analysis of some PDE models of traffic flow
Tong Li
2013, 8(3) : 773-781 doi: 10.3934/nhm.2013.8.773 +[Abstract](2936) +[PDF](351.1KB) PDF Downloads(699)
Link prediction in multiplex networks
Manisha Pujari and Rushed Kanawati
2015, 10(1) : 17-35 doi: 10.3934/nhm.2015.10.17 +[Abstract](4042) +[PDF](993.6KB) PDF Downloads(442)
Modeling, simulation and optimization of gas networks with compressors
Michael Herty
2007, 2(1) : 81-97 doi: 10.3934/nhm.2007.2.81 +[Abstract](2716) +[PDF](1489.0KB) PDF Downloads(400)
Deep neural network approach to forward-inverse problems
Hyeontae Jo, Hwijae Son, Hyung Ju Hwang and Eun Heui Kim
2020, 15(2) : 247-259 doi: 10.3934/nhm.2020011 +[Abstract](1178) +[HTML](189) +[PDF](5577.21KB) PDF Downloads(398)
Community detection in multiplex networks: A seed-centric approach
Manel Hmimida and Rushed Kanawati
2015, 10(1) : 71-85 doi: 10.3934/nhm.2015.10.71 +[Abstract](3552) +[PDF](709.4KB) PDF Downloads(364)
SIR Rumor spreading model with trust rate distribution
Bum Il Hong, Nahmwoo Hahm and Sun-Ho Choi
2018, 13(3) : 515-530 doi: 10.3934/nhm.2018023 +[Abstract](5846) +[HTML](252) +[PDF](494.64KB) PDF Downloads(363)
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Jan Friedrich, Oliver Kolb and Simone Göttlich
2018, 13(4) : 531-547 doi: 10.3934/nhm.2018024 +[Abstract](4946) +[HTML](534) +[PDF](497.72KB) PDF Downloads(353)
Derivation of second order traffic flow models with time delays
Michael Burger, Simone Göttlich and Thomas Jung
2019, 14(2) : 265-288 doi: 10.3934/nhm.2019011 +[Abstract](2646) +[HTML](487) +[PDF](1337.56KB) PDF Downloads(314)
On a vorticity-based formulation for reaction-diffusion-Brinkman systems
Verónica Anaya, Mostafa Bendahmane, David Mora and Ricardo Ruiz Baier
2018, 13(1) : 69-94 doi: 10.3934/nhm.2018004 +[Abstract](4745) +[HTML](1861) +[PDF](6157.76KB) PDF Downloads(290)
Force-based models of pedestrian dynamics
Mohcine Chraibi, Ulrich Kemloh, Andreas Schadschneider and Armin Seyfried
2011, 6(3) : 425-442 doi: 10.3934/nhm.2011.6.425 +[Abstract](4779) +[PDF](729.9KB) PDF Downloads(277)

2019  Impact Factor: 1.053

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