粘性Cahn-Hilliard方程的可解性

Solvability of Viscous Cahn-Hilliard Equation

本文研究粘性Cahn-Hilliard方程的可解性问题。通过构造扇形算子并且利用文献中的方法证明了粘性Cahn-Hilliard方程局部解的存在性和整体解的存在性。同时,考虑带有非线性的粘性Cahn-Hilliard方程,研究其可解性问题。

In this paper, we study the solvability of the viscous Cahn-Hilliard equation. By constructing sectorial operators and empolying the method in reference, the existence of local solutions and global solutions for viscous Cahn-Hilliard equation are proved. At the same time, the existence of solutions for the viscous Cahn-Hilliard equation with nonlinear term is studied.