On global dynamics of 2D convective Cahn–Hilliard equation

In this paper, we study the long time behavior of solution for the initial-boundary value problem of convective Cahn–Hilliard equation in a 2D case. We show that the equation has a global attractor in H 4 ( Ω ) when the initial value belongs to H 1 ( Ω ) .

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Bibliographic Details
Published inBoundary value problems Vol. 2020; no. 1; pp. 1 - 17
Main Author Zhao, Xiaopeng
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.12.2020
Hindawi Limited
SpringerOpen
Subjects
Absorbing set
Analysis
Approximations and Expansions
Boundary value problems
Convective Cahn–Hilliard equation
Difference and Functional Equations
Global attractor
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Convective Cahn–Hilliard equation
Absorbing set
Global attractor
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Summary:In this paper, we study the long time behavior of solution for the initial-boundary value problem of convective Cahn–Hilliard equation in a 2D case. We show that the equation has a global attractor in H 4 ( Ω ) when the initial value belongs to H 1 ( Ω ) .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-020-01477-3