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Model for Heterogeneous Diffusion

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Publication:4986533
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DOI10.1137/19M130087XzbMath1467.35315MaRDI QIDQ4986533

Hyowon Seo, Yong-Jung Kim

Publication date: 27 April 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

kinetic equationanisotropic diffusionFick's lawvelocity jump process


Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Diffusion processes (60J60) Statistical mechanics of solids (82D20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) PDEs in connection with statistical mechanics (35Q82)


Related Items (3)

On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals ⋮ Hyperbolic limit for a biological invasion ⋮ Heterogeneous discrete kinetic model and its diffusion limit



Cites Work

  • Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
  • The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
  • Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions


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