ISSN:
 1556-1801

eISSN:
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Volume 15, 2020

Volume 14, 2019

Volume 13, 2018

Volume 12, 2017

Volume 11, 2016

Volume 10, 2015

Volume 9, 2014

Volume 8, 2013

Volume 7, 2012

Volume 6, 2011

Volume 5, 2010

Volume 4, 2009

Volume 3, 2008

Volume 2, 2007

Volume 1, 2006

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.


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

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Convexity and starshapedness of feasible sets in stationary flow networks
Martin Gugat, Rüdiger Schultz and Michael Schuster
2020, 15(2) : 171-195 doi: 10.3934/nhm.2020008 +[Abstract](430) +[HTML](195) +[PDF](3565.18KB)
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node
Giuseppe Maria Coclite and Carlotta Donadello
2020, 15(2) : 197-213 doi: 10.3934/nhm.2020009 +[Abstract](382) +[HTML](192) +[PDF](406.11KB)
A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity
Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa and Ricardo Ruiz-Baier
2020, 15(2) : 215-245 doi: 10.3934/nhm.2020010 +[Abstract](587) +[HTML](212) +[PDF](6515.01KB)
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](426) +[HTML](164) +[PDF](5577.21KB)
Comparative study of macroscopic traffic flow models at road junctions
Paola Goatin and Elena Rossi
2020, 15(2) : 261-279 doi: 10.3934/nhm.2020012 +[Abstract](379) +[HTML](158) +[PDF](482.3KB)
Homogenization of multivalued monotone operators with variable growth exponent
Svetlana Pastukhova and Valeria Chiadò Piat
2020, 15(2) : 281-305 doi: 10.3934/nhm.2020013 +[Abstract](294) +[HTML](133) +[PDF](413.96KB)
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](3500) +[PDF](737.9KB) Cited By(91)
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](2976) +[PDF](1720.1KB) Cited By(82)
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](3796) +[PDF](993.7KB) Cited By(67)
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](2537) +[PDF](429.4KB) Cited By(65)
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](3336) +[PDF](3881.2KB) Cited By(64)
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](2413) +[PDF](509.3KB) Cited By(64)
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](3491) +[PDF](281.3KB) Cited By(63)
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](3640) +[PDF](337.5KB) Cited By(53)
K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
José Ignacio Alvarez-Hamelin, Luca Dall'Asta, Alain Barrat and Alessandro Vespignani
2008, 3(2) : 371-393 doi: 10.3934/nhm.2008.3.371 +[Abstract](3475) +[PDF](739.3KB) Cited By(52)
Handling congestion in crowd motion modeling
Bertrand Maury, Aude Roudneff-Chupin, Filippo Santambrogio and Juliette Venel
2011, 6(3) : 485-519 doi: 10.3934/nhm.2011.6.485 +[Abstract](2217) +[PDF](1504.9KB) Cited By(48)
Qualitative analysis of some PDE models of traffic flow
Tong Li
2013, 8(3) : 773-781 doi: 10.3934/nhm.2013.8.773 +[Abstract](2403) +[PDF](351.1KB) PDF Downloads(298)
Link prediction in multiplex networks
Manisha Pujari and Rushed Kanawati
2015, 10(1) : 17-35 doi: 10.3934/nhm.2015.10.17 +[Abstract](3380) +[PDF](993.6KB) PDF Downloads(237)
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](4332) +[HTML](531) +[PDF](497.72KB) PDF Downloads(233)
On algebraic graph theory and the dynamics of innovation networks
M. D. König, Stefano Battiston, M. Napoletano and F. Schweitzer
2008, 3(2) : 201-219 doi: 10.3934/nhm.2008.3.201 +[Abstract](3187) +[PDF](308.5KB) PDF Downloads(228)
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](4305) +[HTML](1619) +[PDF](6157.76KB) PDF Downloads(218)
A two-dimensional data-driven model for traffic flow on highways
Michael Herty, Adrian Fazekas and Giuseppe Visconti
2018, 13(2) : 217-240 doi: 10.3934/nhm.2018010 +[Abstract](4558) +[HTML](372) +[PDF](7915.97KB) PDF Downloads(191)
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](1918) +[HTML](485) +[PDF](1337.56KB) PDF Downloads(182)
Numerical network models and entropy principles for isothermal junction flow
Gunhild A. Reigstad
2014, 9(1) : 65-95 doi: 10.3934/nhm.2014.9.65 +[Abstract](2506) +[PDF](1803.6KB) PDF Downloads(180)
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](2957) +[PDF](709.4KB) PDF Downloads(175)
Uniform stability and mean-field limit for the augmented Kuramoto model
Seung-Yeal Ha, Jeongho Kim, Jinyeong Park and Xiongtao Zhang
2018, 13(2) : 297-322 doi: 10.3934/nhm.2018013 +[Abstract](4363) +[HTML](271) +[PDF](494.85KB) PDF Downloads(170)

2019  Impact Factor: 1.053

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