Articles with "flux limited" as a keyword



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A numerical investigation of flux-limited approximations for pedestrian dynamics

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Published in 2017 at "Mathematical Models and Methods in Applied Sciences"

DOI: 10.1142/s0218202517400127

Abstract: A hierarchy of models for pedestrian flow with fixed speed is numerically investigated. The starting point is a microscopic model based on a stochastic interacting particle system coupled to an eikonal equation. Starting from this… read more here.

Keywords: investigation flux; flux; flux limited; limited approximations ... See more keywords
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Perturbative Traveling-Wave Solution for a Flux-Limited Reaction-Diffusion Morphogenesis Equation

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Published in 2018 at "Journal of the Korean Physical Society"

DOI: 10.3938/jkps.76.323

Abstract: In this study, we investigate a porous medium-type flux-limited reaction—diffusion equation that arises in morphogenesis modeling. This nonlinear partial differential equation is an extension of the generalized Fisher—Kolmogorov—Petrovsky—Piskunov (Fisher-KPP) equation in one-dimensional space. The approximate… read more here.

Keywords: limited reaction; wave solution; flux limited; reaction diffusion ... See more keywords