The carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensions (Q2194011)
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| Language | Label | Description | Also known as |
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| English | The carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensions |
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The carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensions (English)
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25 August 2020
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A two species parabolic-elliptic Keller-Segel model with logistic-type reaction terms is studied in bounded smooth domains. The limit of vanishing diffusion in the equations for both species corresponds to a locally well posed hyperbolic-elliptic system with blowing up solutions in a finite time. Then, some solutions which blow up are shown to exist for the original parabolic-elliptic system with small diffusion coefficients.
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two species parabolic-elliptic chemotaxis system
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vanishing diffusion limit
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blowup
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