@article{Zhou2024, 
author = {Xindan Zhou and Zhongping Li},
title = {Global bounded solution of a 3D chemotaxis-Stokes system with slow    p-Laplacian diffusion and logistic source},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16168-16186},
keywords = {boundedness, p-Laplacian diffusion, logistic source, chemotaxis-Stokes},
url = {https://www.sciopen.com/article/10.3934/math.2024782},
doi = {10.3934/math.2024782},
abstract = {In this paper, the chemotaxis-Stokes system with slow    p-Laplacian diffusion and logistic source as follows         {                                                n            t                    +          u          ⋅          ∇          n          =          ∇          ⋅          (                      |                    ∇          n                                    |                                      p              −              2                                ∇          n          )          −          ∇          ⋅          (          n          ∇          c          )          +          μ          n          (          1          −          n          )          ,                          x          ∈          Ω          ,          t          >          0          ,                                                          c            t                    +          u          ⋅          ∇          c          =          Δ          c          −          c          n          ,                          x          ∈          Ω          ,          t          >          0          ,                                                          u            t                    +          ∇          P          =          Δ          u          +          n          ∇          Φ          ,                          x          ∈          Ω          ,          t          >          0          ,                                              ∇          ⋅          u          =          0          ,                                    x          ∈          Ω          ,          t          >          0                                  was considered in a bounded domain    Ω  ⊂            R        3   with smooth boundary under homogeneous Neumann-Neumann-Dirichlet boundary conditions. Subject to the effect of logistic source, we proved the system exists a global bounded weak solution for any    p  >  2.}
}