Abstract
We consider the chemotaxis system with rotation urn:x-wiley:0025584X:media:mana201500325:mana201500325-math-0001under noâflux boundary conditions in the bounded domain , . Here the matrixâvalued 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: , , and , , then the corresponding initialâboundary value problem possesses a unique global classical solution that is uniformly bounded.
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