Boundedness in chemotaxis systems with rotational flux terms |
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| Authors: | Qingshan Zhang |
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| Affiliation: | 1. Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, P. R. China;2. Department of Mathematics, Southeast University, Nanjing, P. R. China |
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| Abstract: | We consider the chemotaxis system with rotation ![urn:x-wiley:0025584X:media:mana201500325:mana201500325-math-0001]( "urn:x-wiley:0025584X:media:mana201500325:mana201500325-math-0001") under no‐flux boundary conditions in the bounded domain  ,  . Here the matrix‐valued function  fulfills  ( ) for all  with some nondecreasing function S0 and  is a nonnegative function with  for all  . Moreover, f satisfies  for all  with nondecreasing function f0. It is shown that for the nonnegative initial data  and  with  , if at least one of the following assumptions holds: then the corresponding initial‐boundary value problem possesses a unique global classical solution that is uniformly bounded. |
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| Keywords: | Chemotaxis system rotational flux global existence boundedness 35B45 92C17 35K55 |
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