We present the global existence of weak solutions to the Cucker–Smale–Stokes system in an infinitely long cylindrical domain with the specular boundary condition. The proposed system consists of the kinetic Cucker–Smale model and the Stokes system for flocking particles and an incompressible fluid, respectively, in an infinitely long cylindrical domain. It models the collective dynamics resulting from the fluid-particle-structure interactions. For this model, we provide the global existence of a weak solution and numerical simulations that exhibit collective behaviors of flocking particles.
The work of H.-O. Bae is supported by National Research Foundation of Korea Grant (NRF-2021R1A2C1099338). The work of S.-Y. Ha was supported by National Research Foundation of Korea Grant (NRF-2020R1A2C3A01003881). The work of D. Ko is supported by Catholic University of Korea, Research Fund, 2024, and National Research Foundation of Korea Grant (NRF-2021R1G1A1008559) funded by the Korea Government.
