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math-ph2016★ 6 cited
Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles
Nicolas Dirr, Marios G. Stamatakis, Johannes Zimmer
Two-species condensing zero range processes (ZRPs) are interacting particle systems with two species of particles and zero range interaction exhibiting phase separation outside a d…
math-ph2015★ 22 cited
Entropic and gradient flow formulations for nonlinear diffusion
Nicolas Dirr, Marios Stamatakis, Johannes Zimmer
Nonlinear diffusion is considered for a class of nonlinearities . It is shown that for suitable choices of , an associated Lyapunov functional can be…