Global bounded weak solution for a 3D chemotaxis-Stokes system with slow p-Laplacian diffusion and rotation

In this paper, we consider the chemotaxis-Stokes system with p-Laplacian (p>2)nt+u⋅∇n=∇⋅(|∇n|p−2∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut+∇P=Δu+n∇ϕ+f(x,t),∇⋅u=0 in a smooth bounded domain Ω∈R3 with zero-flux boundary conditions and no-slip boundary condition, where S(x,n,c) satisfies S∈C2Ω̄×[0,∞)2;R3...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis: real world applications 2024-04, Vol.76, p.103996, Article 103996
Main Authors: Cheng, Hao, Li, Zhongping
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian
Chemotaxis-Stokes system
Global boundedness
Rotation
Tensor-valued sensitivity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider the chemotaxis-Stokes system with p-Laplacian (p>2)nt+u⋅∇n=∇⋅(|∇n|p−2∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut+∇P=Δu+n∇ϕ+f(x,t),∇⋅u=0 in a smooth bounded domain Ω∈R3 with zero-flux boundary conditions and no-slip boundary condition, where S(x,n,c) satisfies S∈C2Ω̄×[0,∞)2;R3×3 and |S(x,n,c)|≤S0c(1+n)−α for all (x,n,c)∈Ω×[0,∞)2 with α≥0 and some nondecreasing function S0:[0,∞)→[0,∞). It is shown that there exists a global bounded weak solution when 43p+α>259, which removes the restriction 11p+6α+2pα>23 and improves the result of paper (Zhuang et al., 2020).
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2023.103996