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Existence of Global Attractor for a Modified Swift - Hohenberg Equation
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Existence of Global Attractor for a Modified Swift - Hohenberg Equation
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Journal Article
Existence of Global Attractor for a Modified Swift - Hohenberg Equation
2022
Overview
This study mainly aims to explore the existence of global attractor for a modified Swift-Hohenberg equation. The method we use was the classical existence theorem of global attractors and the theory of semigroups. Use this method we prove that the equation exist a global attractor in
H
1
2
space, and the global attractor attracts whatever bounded subset of
H
1
2
in the
H
1
2
-norm.
Publisher
IOP Publishing
Subject
