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Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion - MaRDI portal

Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion (Q294208)

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scientific article; zbMATH DE number 6591353
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English
Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
scientific article; zbMATH DE number 6591353

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    Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion (English)
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    9 June 2016
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    This paper deals with a two-species chemotaxis system, in a bounded domain in \(\mathbb R^n\) with smooth boundary. \textit{M. Negreanu} and \textit{J. I. Tello} [SIAM J. Math. Anal. 46, No. 6, 3761--3781 (2014; Zbl 1317.35109); J. Differ. Equations 258, No. 5, 1592--1617 (2015; Zbl 1310.35040)] proved global existence and asymptotic behavior of solutions to the above system when \(0\leq d<1\). The main purpose of the present paper is to remove the restriction of \(0\leq d<1\).
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    chemotaxis
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    global existence
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    asymptotic behavior
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    stability
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