Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux

DOI10.1016/j.aml.2020.106700zbMath1453.35113OpenAlexW3080486001MaRDI QIDQ2213688

Ying Dong, Yingping Peng

Publication date: 3 December 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106700

zbMATH Keywords

logistic sourcerotational sensitivity

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Unnamed Item
• Application of an Adams type inequality to a two-chemical substances chemotaxis system
• Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
• The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system
• Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
• Large time behavior in a chemotaxis model with logistic growth and indirect signal production
• Analysis of a chemotaxis model with indirect signal absorption
• The fast signal diffusion limit in Keller-Segel(-fluid) systems
• Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling
• The Diffusion Limit of Transport Equations II: Chemotaxis Equations
• Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
• Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
• Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms