Networks and Heterogeneous Media: latest papers
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Latest articles for selected journal

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13128
Homogenization of a thermal problem with flux jump
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13128
Renata Bunoiu and Claudia Timofte
Thu, 1 Dec 2016 08:00:00 GMT

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13129
Stability of nonautonomous difference equations with applications to transport and wave propagation on networks
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13129
Yacine Chitour, Guilherme Mazanti and Mario Sigalotti
Thu, 1 Dec 2016 08:00:00 GMT

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13130
A steadystate mathematical model for an EOS capacitor: The effect of the size exclusion
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13130
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.
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Federica Di Michele, Bruno Rubino and Rosella Sampalmieri
Thu, 1 Dec 2016 08:00:00 GMT

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13131
Homogenization of nonlinear dissipative hyperbolic problems exhibiting arbitrarily many spatial and temporal scales
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13131
Liselott FlodÃ©n and Jens Persson
Thu, 1 Dec 2016 08:00:00 GMT

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13132
Decay rates for $1d$ heatwave planar networks
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13132
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
starshaped 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.
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ZhongJie Han and Enrique Zuazua
Thu, 1 Dec 2016 08:00:00 GMT

http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13133
An epidemic model with nonlocal diffusion on networks
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13133
Elisabeth Logak and Isabelle Passat
Thu, 1 Dec 2016 08:00:00 GMT