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• W2488766299 abstract "This paper is concerned with the boundary layer problem for a hyperbolic system transformed via a Cole–Hopf type transformation from a repulsive chemotaxis model with logarithmic sensitivity proposed in [23] , [34] modeling the biological movement of reinforced random walkers which deposit a non-diffusible (or slowly moving) signal that modifies the local environment for succeeding passages. By prescribing the Dirichlet boundary conditions to the transformed hyperbolic system in an interval ( 0 , 1 ) , we show that the system has the boundary layer solutions as the chemical diffusion coefficient ε → 0 , and further use the formal asymptotic analysis to show that the boundary layer thickness is ε 1 / 2 . Our work justifies the boundary layer phenomenon that was numerically found in the recent work [25] . However we find that the original chemotaxis system does not possess boundary layer solutions when the results are reverted to the pre-transformed system." @default.
• W2488766299 created "2016-08-23" @default.
• W2488766299 creator A5013659878 @default.
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• W2488766299 date "2016-11-01" @default.
• W2488766299 modified "2023-10-17" @default.
• W2488766299 title "Boundary layer problem on a hyperbolic system arising from chemotaxis" @default.
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• W2488766299 doi "https://doi.org/10.1016/j.jde.2016.07.018" @default.
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