NHM is a quarterly publication, in March, June, September and December. The journal will be online only starting 2010 . To submit, send pdf directly to the Editor in Chief Benedetto Piccoli at nhm@iac.cnr.it or b.piccoli@iac.rm.cnr.it
NHM offers a strong combination of the three features: Interdisciplinary Character; Specific Focus ; and Deep Mathematical Content . Also, the journal aims at creating a link between the discrete and the continuous communities, which distinguishes it from other journals with strong PDE orientation.
While the classical modelling and analysis approach is efficient for systems evolving on Euclidean spaces or manifolds, many recent applications require the development of mathematical tools for state spaces with a more complicated structure, such as a fractal, a stratified set or a topological graph or, in the case of many interacting evolutions, for a collection of different state spaces. These special structures arise naturally in a number of applied problems ranging from mechanical ones as for the static and dynamics of granular media to biological ones as vessels pattern formation in angiogenesis. Such problems can be studied by developing an analysis directly on the complicated media or via limiting procedures on the microstructure to obtain auxiliary systems on classical spaces, with the appearance of new terms in classical equations and/or enlarged state spaces. This situation is typical of discrete networks, which can be used to approximate hard problems on continua, or can be studied by continuum limits. Also, an example of limiting procedure is given by homogenization limits for various materials with several constituents. Other important examples include continuum networks, i.e. one dimensional complexes, which are the natural space for car traffic or telecommunication data flow. The determination of the natural dynamics or the typical stochastic behavior at vertices requires an investigation of flows in networks. The presence of different time or space scales may give rise to similar phenomena requiring singular perturbation methods, mean fields analysis and other limiting procedures.
NHM aims at attracting original contributions of highest quality in Networks, Heterogeneous Media and related fields. The research in this area are scattered across a wide range of statistical physics, applied mathematics, engineering, socio-economical and bio-medical journals. Networks and Heterogeneous Media brings together all these different research lines by emphasizing the common underlying mathematics.
NHM is thus devoted to research work on complex media arising in mathematical, physical, engineering, socio-economical and bio-medical problems such as atomistic to continuum approach to elastic solids, vehicles traffic flow on networks, social networks, telecommunication networks and internet, homogenization of complex media, random media, mass transfer and its interaction with hydrodynamic descriptions of flows, macroscopic evolutions in complex and random media, multiphase flows in porous media, biological flows, mechanical and biological properties of tissues, currents in micronic and submicronic electronic devices, conservation laws models in complicated media, kinetic description of hydrodynamic flows, multiscale phenomena, etc.
The emphasis of the journal Networks and Heterogeneous Media is on modelling, analysis, control, numerics and applications. Occasionally, invited state of the art reviews will be published when they provide a solid background for future research.
NHM is covered in Science Citation Index Expanded, CompuMath Citation Index, Current Contents/Engineering, Computing, and Technology ISI Alerting Services.
Editor in Chief: Benedetto Piccoli ,
Istituto per le Applicazioni del Calcolo "Mauro Picone"
Consiglio Nazionale delle Ricerche
Viale del Policlinico 137, I-00161 Roma, Italy.
Phone : +39-0688470244; Fax : +39-064404306
b.piccoli@iac.rm.cnr.it
