Global bounded solution of a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion

The paper considers the following chemotaxis-Stokes system with nonlinear doubly degenerate diffusion {n(t) + u center dot del n = del center dot (vertical bar del n(m)vertical bar(p-2) del n(m)) - chi del center dot (n del c), x is an element of Omega, t > 0, c(t) + u center dot del c = Delta c - cn, x is an element of Omega, t > 0, u(t) + del P = Delta u + n del Phi, x is an element of Omega, t > 0, del center dot u - 0, in a bounded domain Omega subset of R-3 with zero-flux boundary conditions and no-slip boundary condition. In this paper, we proved that global bounded weak solutions exist whenever m > 1 and p >= 2. It removes the restrict 8mp - 8m + 3p > 15 and improves the result of paper Lin (2022) [15]. (c) 2023 Elsevier Inc. All rights reserved.