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• W1964125680 abstract "A hyperbolic-parabolic chemotaxis system modelling aggregation of motile cells by production of a diffusible chemoattractant, is approximated by a scalar diffusion equation for the cell density, where the drift term is an explicit functional of the current density profile. We prove the unique existence and, using the Hopf-Cole transformation, the local stability of an equilibrium, i.e. a steady aggregation state. We also discuss the limiting hyperbolic case of vanishing random motility with the formation of shocks describing cell clumps." @default.
• W1964125680 created "2016-06-24" @default.
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• W1964125680 date "1987-01-01" @default.
• W1964125680 modified "2023-09-23" @default.
• W1964125680 title "Stability results for a diffusion equation with functional drift approximating a chemotaxis model" @default.
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• W1964125680 doi "https://doi.org/10.1090/s0002-9947-1987-0871674-4" @default.
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