Sharp interface limit for the Cahn-Larché system
Sharp interface limit for the Cahn-Larché system
复制标题
Cahn-Larché 系统的尖锐接口限制
作者：
H. Abels;Stefan Schaubeck
我们严格证明了Cahn-Larch 'e系统，这是一个Cahn-Hilliard系统与线性化弹性系统耦合，一个修改的Hele-Shaw问题，只要后者的经典解存在。通过匹配渐近展开，我们构造近似解，并估计真实解和近似解之间的差异。
We prove rigorously the convergence of the Cahn-Larch'e system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists. By matched asymptotic expansion we construct approximate solutions and estimate the difference between the true and the approximate solutions.