most citedModeling micro-macro pedestrian counterflow in heterogeneous domains

8 citations · 12 across the 5 of their papers we have counts for

collaborators

5 papers

math-ph2011

Corrector estimates for the homogenization of a locally-periodic medium with areas of low and high diffusivity

Adrian Muntean, Tycho van Noorden

We prove an upper bound for the convergence rate of the homogenization limit for a linear transmission problem for a advection-diffusion(-reaction) system posed in areas w…

math-ph20111 cited

A free-boundary problem for concrete carbonation: Rigorous justification of the -law of propagation

Toyohiko Aiki, Adrian Muntean

We study a one-dimensional free-boundary problem describing the penetration of carbonation fronts (free reaction-triggered interfaces) in concrete. A couple of decades ago, it was…

math.AP2010

Sulfate attack in sewer pipes: Derivation of a concrete corrosion model via two-scale convergence

Tasnim Fatima, Adrian Muntean

We explore the homogenization limit and rigorously derive upscaled equations for a microscopic reaction-diffusion system modeling sulfate corrosion in sewer pipes made of concrete.…

math-ph20108 cited

Modeling micro-macro pedestrian counterflow in heterogeneous domains

Joep Evers, Adrian Muntean

We present a micro-macro strategy able to describe the dynamics of crowds in heterogeneous media. Herein we focus on the example of pedestrian counterflow. The main working tools i…

math-ph20103 cited

Homogenization of a locally-periodic medium with areas of low and high diffusivity

T. van Noorden, A. Muntean

We aim at understanding transport in porous materials including regions with both high and low diffusivities. For such scenarios, the transport becomes structured (here: {\em micro…