On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions | Zendy

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On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions

Author(s) -

Fang Li,

Bo You

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021024

Subject(s) - attractor , mathematics , dimension (graph theory) , lipschitz continuity , boundary (topology) , fractal dimension , phase space , space (punctuation) , mathematical analysis , hausdorff dimension , fractal , pure mathematics , physics , computer science , thermodynamics , operating system

The objective of this paper is to study the fractal dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. Inspired by the idea of the \begin{document}$ \ell $\end{document} -trajectory method, we prove the existence of a finite dimensional global attractor in an auxiliary normed space for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions and estimate the fractal dimension of the global attractor in the original phase space for this system by defining a Lipschitz mapping from the auxiliary normed space into the original phase space.

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