论文标题
关于使用交叉耦合的Cahn-Hilliard/Allen-Cahn系统的解决方案的独特性和稳定性
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
论文作者
论文摘要
研究了通过状态和梯度依赖性的非对抗迁移率矩阵进行强耦合的相位场方程系统。通过强范围的galerkin近似和A-Priori估计，建立了弱解的存在。相对能量估计用于得出一般的非线性稳定性估计。结果，获得了弱的独特原理，并研究了模型参数的稳定性。
A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by the Galerkin approximation and a-priori estimates in strong norms. Relative energy estimates are used to derive a general nonlinear stability estimate. As a consequence, a weak-strong uniqueness principle is obtained and stability with respect to model parameters is investigated.
