The Local Existence and Blowup Criterion for Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Compressible Navier--Stokes Equation

Abstract

In this paper, we establish the existence and uniqueness of local strong solutions to the kinetic Cucker--Smale model coupled with the isentropic compressible Navier--Stokes equation in the whole space. Moreover, the blowup mechanism for strong solutions to the coupled system is also investigated.