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| We address the long term behavior of a $2D-$Cahn-Hilliard-Navier-Stokes system with polynomial double-well potential, proving that it possesses a pullback exponential attractor. In particular the regularity estimates we obtain depend on the initial data only through fixed powers of their norms and these powers are independent of the growth of the polynomial potential considered in the Cahn-Hilliard equation. |
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