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- W2949320113 abstract "In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $Omega subset mathbb{R}^N$ ($Nin{2,3}$), not necessarily being convex. Thanks to the elementary lemma given by Mizoguchi & Souplet [10], we can derive a new type of entropy-energy estimate, which enables us to prove the following: (1) for $N=2$, there exists a unique global classical solution to the full chemotaxis-Navier-Stokes system, which converges to a constant steady state $(n_infty, 0,0)$ as $tto+infty$, and (2) for $N=3$, the existence of a global weak solution to the simplified chemotaxis-Stokes system. Our results generalize the recent work due to Winkler [15,16], in which the domain $Omega$ is essentially assumed to be convex." @default.
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- W2949320113 date "2014-09-01" @default.
- W2949320113 modified "2023-09-27" @default.
- W2949320113 title "Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain" @default.
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