On the slow dynamics for the Cahn-Hilliard equation in one space dimension
نویسندگان
چکیده
We study the limiting behavior of the solution of the Cahn-Hilliard equation using "energy-type methods". We assume that the initial data has a "transition layer structure", i.e., u w ±1 except near finitely many transition points. We show that, in the limit as e —> 0, the solution maintains its transition layer structure, and the transition layers move slower than any power of e. §
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