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Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space

    https://doi.org/10.1142/S0218202516500329Cited by:8 (Source: Crossref)

    We prove the global well-posedness of the so-called hyperbolic relaxation of the Cahn–Hilliard–Oono equation in the whole space 3 with the nonlinearity of the sub-quintic growth rate. Moreover, the dissipativity and the existence of a smooth global attractor in the naturally defined energy space is also verified. The result is crucially based on the Strichartz estimates for the linear Schrödinger equation in 3.

    Communicated by F. Brezzi

    AMSC: 35B40, 35B45