ISSN:
 1556-1801

eISSN:
 1556-181X

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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.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 4 issues a year in March, June, September and December.
  • Publishes online only.
  • Indexed in Science Citation Index-Expanded, ISI Alerting Services, CompuMath Citation Index, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), INSPEC, Mathematical Reviews, MathSciNet, PASCAL/CNRS, Scopus, Web of Science and Zentralblatt MATH.
  • Archived in Portico and CLOCKSS.
  • NHM is a publication of the American Institute of Mathematical Sciences. All rights reserved.

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

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Local weak solvability of a moving boundary problem describing swelling along a halfline
Kota Kumazaki and Adrian Muntean
2019, 14(3) : 445-469 doi: 10.3934/nhm.2019018 +[Abstract](121) +[HTML](37) +[PDF](382.94KB)
On the local and global existence of solutions to 1d transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón and Omar Lazar
2019, 14(3) : 471-487 doi: 10.3934/nhm.2019019 +[Abstract](112) +[HTML](58) +[PDF](425.05KB)
Compressible and viscous two-phase flow in porous media based on mixture theory formulation
Yangyang Qiao, Huanyao Wen and Steinar Evje
2019, 14(3) : 489-536 doi: 10.3934/nhm.2019020 +[Abstract](135) +[HTML](84) +[PDF](913.6KB)
A class of infinite horizon mean field games on networks
Yves Achdou, Manh-Khang Dao, Olivier Ley and Nicoletta Tchou
2019, 14(3) : 537-566 doi: 10.3934/nhm.2019021 +[Abstract](103) +[HTML](41) +[PDF](519.12KB)
Saddle solutions for a class of systems of periodic and reversible semilinear elliptic equations
Francesca Alessio, Piero Montecchiari and Andrea Sfecci
2019, 14(3) : 567-587 doi: 10.3934/nhm.2019022 +[Abstract](80) +[HTML](34) +[PDF](439.46KB)
Optimal reinforcing networks for elastic membranes
Giovanni Alberti, Giuseppe Buttazzo, Serena Guarino Lo Bianco and Édouard Oudet
2019, 14(3) : 589-615 doi: 10.3934/nhm.2019023 +[Abstract](73) +[HTML](46) +[PDF](13940.36KB)
Opinion formation in voting processes under bounded confidence
Sergei Yu. Pilyugin and M. C. Campi
2019, 14(3) : 617-632 doi: 10.3934/nhm.2019024 +[Abstract](90) +[HTML](51) +[PDF](334.03KB)
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](2261) +[PDF](993.7KB) Cited By(67)
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](1887) +[PDF](3881.2KB) 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](2114) +[PDF](281.3KB) Cited By(63)
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](2018) +[PDF](737.9KB) Cited By(56)
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](2151) +[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](1949) +[PDF](739.3KB) Cited By(52)
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](1711) +[PDF](1720.1KB) Cited By(48)
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](1891) +[PDF](412.0KB) Cited By(45)
Explicit solutions of some linear-quadratic mean field games
Martino Bardi
2012, 7(2) : 243-261 doi: 10.3934/nhm.2012.7.243 +[Abstract](2064) +[PDF](433.5KB) Cited By(38)
A Well Posed Riemann Problem for the $p$--System at a Junction
Rinaldo M. Colombo and Mauro Garavello
2006, 1(3) : 495-511 doi: 10.3934/nhm.2006.1.495 +[Abstract](1566) +[PDF](212.0KB) Cited By(30)
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](2117) +[HTML](999) +[PDF](6157.76KB) PDF Downloads(116)
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](1898) +[HTML](428) +[PDF](497.72KB) PDF Downloads(89)
Functional model for extensions of symmetric operators and applications to scattering theory
Kirill D. Cherednichenko, Alexander V. Kiselev and Luis O. Silva
2018, 13(2) : 191-215 doi: 10.3934/nhm.2018009 +[Abstract](1925) +[HTML](193) +[PDF](571.43KB) PDF Downloads(87)
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](2047) +[HTML](161) +[PDF](494.85KB) PDF Downloads(82)
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](2026) +[HTML](252) +[PDF](7915.97KB) PDF Downloads(80)
Sparse stabilization of dynamical systems driven by attraction and avoidance forces
Mattia Bongini and Massimo Fornasier
2014, 9(1) : 1-31 doi: 10.3934/nhm.2014.9.1 +[Abstract](2215) +[PDF](2266.2KB) PDF Downloads(72)
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](478) +[HTML](202) +[PDF](1337.56KB) PDF Downloads(69)
Special issue on mathematical methods in systems biology
Monique Chyba and Benedetto Piccoli
2019, 14(1) : ⅰ-ⅱ doi: 10.3934/nhm.20191i +[Abstract](867) +[HTML](310) +[PDF](97.78KB) PDF Downloads(66)
Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication
Young-Pil Choi, Seung-Yeal Ha and Jeongho Kim
2018, 13(3) : 379-407 doi: 10.3934/nhm.2018017 +[Abstract](1748) +[HTML](219) +[PDF](525.83KB) PDF Downloads(66)
On the role of tumor heterogeneity for optimal cancer chemotherapy
Urszula Ledzewicz, Heinz Schättler and Shuo Wang
2019, 14(1) : 131-147 doi: 10.3934/nhm.2019007 +[Abstract](1112) +[HTML](387) +[PDF](482.37KB) PDF Downloads(66)

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