Global convergence of a kinetic model of chemotaxis to a perturbed Keller–Segel model |
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Authors: | Fabio ACC Chalub Kyungkeun Kang |
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Institution: | 1. CMAF/Universidade de Lisboa, Av. Prof. Gama Pinto 2, P-1649-003 Lisbon, Portugal;2. Department of Mathematics, University of British Columbia, 121-1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2 |
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Abstract: | We consider a class of kinetic models of chemotaxis with two positive non-dimensional parameters coupled to a parabolic equation of the chemo-attractant. If both parameters are set equal zero, we have the classical Keller–Segel model for chemotaxis. We prove global existence of solutions of this two-parameters kinetic model and prove convergence of this model to models of chemotaxis with global existence when one of these two parameters is set equal zero. In one case, we find as a limit model a kinetic model of chemotaxis while in the other case we find a perturbed Keller–Segel model with global existence of solutions. |
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Keywords: | 92C17 82B40 92B05 |
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