论文标题
关于官能化的Cahn-Hilliard方程的非负溶液，具有退化迁移率
On nonnegative solutions for the Functionalized Cahn-Hilliard equation with degenerate mobility
论文作者
论文摘要
已经提出了功能化的Cahn-Hilliard方程，作为两亲性分子相分开混合物的界面能量的模型。我们研究了由u <= 0的变性迁移率m（u）的功能化cahn-hilliard方程的梯度流的非负弱解的存在。假设初始数据U0（X）是正的，那么我们构建了一个弱解决方案，作为对应于非排定迁移率的解决方案的极限，并验证其满足能量耗散不平等。
The Functionalized Cahn-Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a nonnegative weak solutions of a gradient flow of the Functionalized Cahn-Hilliard equation subject to a degenerate mobility M(u) that is zero for u<=0. Assuming the initial data u0(x) is positive, we construct a weak solution as the limit of solutions corresponding to nondegenerate mobilities and verify that it satisfies an energy dissipation inequality.
