Networks and Heterogeneous Media: latest papers Latest articles for selected journal Traveling waves for degenerate diffusive equations on networks Andrea Corli, Lorenzo di Ruvo, Luisa Malaguti and Massimiliano D. Rosini Fri, 1 Sep 2017 08:00:00 GMT Coupling conditions for the transition from supersonic to subsonic fluid states Martin Gugat, Michael Herty and Siegfried Müller Fri, 1 Sep 2017 08:00:00 GMT Nonlinear flux-limited models for chemotaxis on networks Raul Borsche, Axel Klar and T. N. Ha Pham Fri, 1 Sep 2017 08:00:00 GMT The Wigner-Lohe model for quantum synchronization and its emergent dynamics Paolo Antonelli, Seung-Yeal Ha, Dohyun Kim and Pierangelo Marcati Fri, 1 Sep 2017 08:00:00 GMT Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics Vincent Renault, Michèle Thieullen and Emmanuel Trélat Fri, 1 Sep 2017 08:00:00 GMT Decay rates for elastic-thermoelastic star-shaped networks     First, a sufficient and necessary condition for the strong stability of the thermoelastic-elastic network is given. Then, the uniform exponential decay rate is proved by frequency domain analysis techniques when only one purely elastic undamped rod is present. When the network involves more than one purely elastic undamped rod the lack of exponential decay is proved and {nearly} sharp polynomial decay rates are deduced under suitable irrationality conditions on the lengths of the rods, based on Diophantine approximation arguments. More general slow decay rates are also derived. Finally, we present some numerical simulations supporting the analytical results. ]]> Zhong-Jie Han and Enrique Zuazua Fri, 1 Sep 2017 08:00:00 GMT Opinion dynamics on a general compact Riemannian manifold Aylin Aydoǧdu, Sean T. McQuade and Nastassia Pouradier Duteil Fri, 1 Sep 2017 08:00:00 GMT