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July  2019, 24(7): 3077-3088. doi: 10.3934/dcdsb.2018301

## On the steady state bifurcation of the Cahn-Hilliard/Allen-Cahn system

 School of Data Sciences, Zhejiang University of Finance & Economics, Hangzhou, 310018, China

* Corresponding author E-mail: dmyan@zufe.edu.cn(Dongming Yan)

Received  March 2018 Published  October 2018

In this paper, the steady state bifurcation of the Cahn-Hilliard/Allen-Cahn system is investigated. By using the Lyapunov-Schmidt method, combining with the implicit function theorem, we prove that this system bifurcates from the trivial solution to the nontrivial solution branch as parameter crosses certain critical value. The expression of bifurcated solution is also obtained.

Citation: Shixing Li, Dongming Yan. On the steady state bifurcation of the Cahn-Hilliard/Allen-Cahn system. Discrete & Continuous Dynamical Systems - B, 2019, 24 (7) : 3077-3088. doi: 10.3934/dcdsb.2018301
##### References:

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