Abstract
We consider the vanishing diffusion limit issue for the chemotaxis–Navier–Stokes system in R 3 . We show that as the chemical diffusion rate ε goes to zero, the solutions with 0 $ ]]> ε > 0 , converge to the non-diffusive solutions in the same Sobolev spaces of existence. The convergence rate is of order O ( ε 1 / 2 ) .
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