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- W4319316615 abstract "In this note, we consider the large time behavior of the following chemotaxis-Navier-Stokes system$ begin{equation*} label{AH4} left{ begin{split} n_t + {bf u}cdotnabla n & = Delta n^m - nabla cdotbig(nnabla cbig), & qquad xinOmega ,, t>0, c_t + {bf u}cdotnabla c & = Delta c - nc, &qquad xinOmega ,, t>0, {bf u}_t + {bf u}cdotnabla {bf u} & = Delta{bf u} +nabla P + nnabla phi, &qquad xinOmega ,, t>0, nabla cdot{bf u} & = 0, &qquad xinOmega ,, t>0 end{split} right. end{equation*} $with $ m>1 $ in spatially three-dimensional setting. The global weak solution $ (n, c, {bf u}) $ to the no-flux/no-flux/no-slip initial-boundary value problem has been constructed by Zhang and Li (J. Differential Equations, 2015). Here, we will show that such a weak solution will stabilize to the constant equilibrium $ (overline{{n}_0}, 0, {bf 0}) $ with $ overline{{n}_0} = frac{1}{|Omega |}int_Omega n_0 $ as $ trightarrow infty $." @default.
- W4319316615 created "2023-02-08" @default.
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- W4319316615 date "2023-01-01" @default.
- W4319316615 modified "2023-09-23" @default.
- W4319316615 title "A note to the large-time behavior of a 3D chemotaxis-Navier-Stokes system with porous medium slow diffusion" @default.
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- W4319316615 doi "https://doi.org/10.3934/dcdsb.2023004" @default.
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