Networks and Heterogeneous Media: latest papers Latest articles for selected journal Homogenization of a thermal problem with flux jump Renata Bunoiu and Claudia Timofte Thu, 1 Dec 2016 08:00:00 GMT Stability of non-autonomous difference equations with applications to transport and wave propagation on networks Yacine Chitour, Guilherme Mazanti and Mario Sigalotti Thu, 1 Dec 2016 08:00:00 GMT A steady-state mathematical model for an EOS capacitor: The effect of the size exclusion     Our results provide information about the charge distribution and the potential behaviour on the device domain, and can represent a suitable framework for the development of stable numerical tools for innovative nanodevice modelling. ]]> Federica Di Michele, Bruno Rubino and Rosella Sampalmieri Thu, 1 Dec 2016 08:00:00 GMT Homogenization of nonlinear dissipative hyperbolic problems exhibiting arbitrarily many spatial and temporal scales Liselott Flodén and Jens Persson Thu, 1 Dec 2016 08:00:00 GMT Decay rates for $1-d$ heat-wave planar networks     When all edges evolve according to the heat equation, the uniform exponential decay holds. By the contrary, we show the lack of uniform stability, based on a Geometric Optics high frequency asymptotic expansion, whenever the network involves at least one wave equation.
    The (slow) decay rate of this system is further discussed for star-shaped networks. When only one wave equation is present in the network, by the frequency domain approach together with multipliers, we derive a sharp polynomial decay rate. When the network involves more than one wave equation, a weakened observability estimate is obtained, based on which, polynomial and logarithmic decay rates are deduced for smooth initial conditions under certain irrationality conditions on the lengths of the strings entering in the network. These decay rates are intrinsically determined by the wave equations entering in the system and are independent on the heat equations. ]]>
Zhong-Jie Han and Enrique Zuazua Thu, 1 Dec 2016 08:00:00 GMT An epidemic model with nonlocal diffusion on networks Elisabeth Logak and Isabelle Passat Thu, 1 Dec 2016 08:00:00 GMT