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