Global solutions of a two‐dimensional chemotaxis system with attraction and repulsion rotational flux terms |
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| Authors: | Ying Dong Xie Li |
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| Institution: | 1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China;2. College of Mathematics & Information, China West Normal University, Nanchong, China |
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| Abstract: | We consider the attraction–repulsion chemotaxis system with rotational flux terms ![]() where  is a bounded domain with smooth boundary. Here, S1 and S2 are given parameter functions on 0,∞)2×Ω with values in  . It is shown that for any choice of suitably regular initial data (u0,v0,w0) fulfilling a smallness condition on the norm of v0,w0 in L∞(Ω), the corresponding initial‐boundary value problem possesses a global bounded classical solution. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | chemotaxis global existence boundedness rotation attraction repulsion |
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is a bounded domain with smooth boundary. Here, S1 and S2 are given parameter functions on 0,∞)2×Ω with values in 
. It is shown that for any choice of suitably regular initial data (u0,v0,w0) fulfilling a smallness condition on the norm of v0,w0 in L∞(Ω), the corresponding initial‐boundary value problem possesses a global bounded classical solution. Copyright © 2016 John Wiley & Sons, Ltd.