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The time-periodic problem of the viscous Cahn–Hilliard equation with the homogeneous Dirichlet boundary condition by Keiichiro Kagawa; Mitsuharu Ôtani is a Mathematics article available to read on EtoBox.
What is The time-periodic problem of the viscous Cahn–Hilliard equation with the homogeneous Dirichlet boundary condition about?
In this paper, we show the existence and uniqueness of timeperiodic solutions for the viscous Cahn-Hilliard equation with the homogeneous Dirichlet boundary condition. We also investigate the asymptotic limit of time-periodic solutions of the viscous Cahn-Hilliard equation to time-periodic solutions of the Allen-Cahn equation or the Cahn-Hilliard equation. We here assume that the nonlinear term can be decomposed into the difference between a maximal monotone part and its perturbation, by which we can exclude the Sobolev subcritical growth condition on the nonlinear term which is frequently assumed in previous studies.
Who reads The time-periodic problem of the viscous Cahn–Hilliard equation with the homogeneous Dirichlet boundary condition?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Keiichiro Kagawa; Mitsuharu Ôtani
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)