具有奇异位和动态边界条件的Cahn-Hilliard方程
The Cahn-Hilliard Equation with Singular Potentials and Dynamic Boundary Conditions
摘要：
本文主要研究具有奇异位势和动力边界条件的Cahn-Hilliard方程。特别是，我们证明，由于适当的近似奇异位和一个合适的概念变分解决方案，解决方案的存在性和唯一性。我们还讨论了分离的解决方案从奇点的潜力。最后，我们证明了全局和指数吸引子的存在性。
英文摘要：
Our aim in this paper is to study the Cahn-Hilliard equation with singular potentials and dynamic boundary conditions. In particular, we prove, owing to proper approximations of the singular potential and a suitable notion of variational solutions, the existence and uniqueness of solutions. We also discuss the separation of the solutions from the singularities of the potential. Finally, we prove the existence of global and exponential attractors.
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