Abstract
We consider the attraction–repulsion chemotaxis system with rotational flux terms urn:x-wiley:mma:media:mma4136:mma4136-math-0003 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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