Global well-posedness of classical solutions to a fluid–particle interaction model in [formula omitted].

We consider the Cauchy problem of a fluid–particle interaction model in R 3 , namely, compressible Navier–Stokes equations coupled with Smoluchowski equation. When the initial data ( ρ 0 , u 0 , η 0 ) is of small energy around steady state ( ρ ⋆ , 0 , η ⋆ ) , the global well-posedness and large-time behavior of classical solutions are investigated. Vacuum is allowed. [ABSTRACT FROM AUTHOR]