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• W3095746134 abstract "The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–Hilliard equation with Willmore regularization. Because of the existence of the nonlinear Willmore regularization and complex structures, it is difficult to obtain the suitable a priori estimates in order to prove the well-posedness results, and the large time behavior of solutions cannot be shown using the usual Fourier splitting method. In order to overcome the above two difficulties, we borrow a fourth-order linear term and a second-order linear term from the related term, rewrite the equation in a new form, and introduce the negative Sobolev norm estimates. Subsequently, we investigate the local well-posedness, global well-posedness, and decay rate of strong solutions for the Cauchy problem of such an equation in R3, respectively." @default.
• W3095746134 created "2020-11-09" @default.
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• W3095746134 date "2020-10-26" @default.
• W3095746134 modified "2023-10-16" @default.
• W3095746134 title "A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ3" @default.
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• W3095746134 doi "https://doi.org/10.3390/math8111865" @default.
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