A note on the existence of a global attractor for the Brinkman–Forchheimer equations

This study focuses on the Brinkman–Forchheimer equation ut=γ△u−au−b|u|u−c|u|βu−∇p+fut=γ△u−au−b|u|u−c|u|βu−∇p+f in an open, bounded domain ΩΩ and the existence of a global attractor in the phase space H̃01(Ω) is established.