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math.AP2013
Large-time behavior of a two-scale semilinear reaction-diffusion system for concrete sulfatation
Toyohiko Aiki, Adrian Muntean
We study the large-time behavior of (weak) solutions to a two-scale reaction-diffusion system coupled with a nonlinear ordinary differential equations modeling the partly dissipati…
math.AP2013
Crowds reaching targets by maximizing entropy: a Clausius-Duhem inequality approach
Joep Evers, Adrian Muntean, Fons van de Ven
In this paper we propose the use of concepts from thermodynamics in the study of crowd dynamics. Our continuous model consists of the continuity equation for the density of the cro…
math.AP2013
Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry's law and time-dependent Dirichlet data
Toyohiko Aiki, Adrian Muntean
We study the large-time behavior of the free boundary position capturing the one-dimensional motion of the carbonation reaction front in concrete-based materials. We extend here ou…