Asymptotic behavior of global solutions of aerotaxis equations

DOI10.1016/j.jmaa.2019.02.044zbMath1416.35275OpenAlexW2911664799WikidataQ128374925 ScholiaQ128374925MaRDI QIDQ2633739

Piotr Knosalla

Publication date: 10 May 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.2019.02.044

zbMATH Keywords

asymptotic behavior of solutionsaerotaxis equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (4)

Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ On the steady state problem of the chemotaxis-consumption model with logistic growth and Dirichlet boundary condition for signal ⋮ Steady‐state solutions of the aerotaxis problem ⋮ Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model

Cites Work

• Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Functional analysis, Sobolev spaces and partial differential equations
• An application of the invariance principle to reaction diffusion equations
• Bacterial swimming and oxygen transport near contact lines
• Global solutions of aerotaxis equations
• Stationary solutions of aerotaxis equations
• L^PBounds of solutions of reaction-diffusion equations
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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