一类带Neumann边界条件的Cahn-Hilliard方程的定态分歧

Steady state bifurcation of Cahn-Hilliard equation with Neumann boundary condition

作者运用规范化Lyapunov-Schmidt约化方法,给出了一类带Neumann边界条件的Cahn-Hilliard方程产生次临界分歧和超临界分歧的精准判据,得出了分歧解的具体表达形式,并进一步讨论了分歧解的正则性.

With normalized Lyapunov-Schmidt reduction method, the criterion for subcritical bifurcation and supercritical bifurcation of the given Cahn-Hilliard equation with Neumann boundary condition is obtained, and the exact solutions of the given equation are also obtained. Furthermore, the regularity of solutions is also discussed.