The diffusive limit of the Vlasov-Fokker-Planck equation with the chemotactic sensitivity coupled to a parabolic equation

DOI10.1016/j.jmaa.2019.05.009zbMath1421.35383OpenAlexW2944814330WikidataQ127896605 ScholiaQ127896605MaRDI QIDQ2315048

Hyeontae Jo, Hyung-Ju Hwang

Publication date: 31 July 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.05.009

zbMATH Keywords

kinetic equationchemotactic sensitivitydiffusive scalingVlasov-Fokker-Planck

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Cites Work

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• Model for chemotaxis
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• THE LANGEVIN OR KRAMERS APPROACH TO BIOLOGICAL MODELING
• PARABOLIC LIMIT AND STABILITY OF THE VLASOV–FOKKER–PLANCK SYSTEM
• Global Solutions of Nonlinear Transport Equations for Chemosensitive Movement
• Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit
• Nonlinear partial differential equations with applications

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