Anomalous scaling for 3d Cahn–Hilliard fronts
نویسندگان
چکیده
We prove the stability of the one dimensional kink solution of the Cahn-Hilliard equation under d-dimensional perturbations for d ≥ 3. We also establish a novel scaling behavior of the large time asymptotics of the solution. The leading asymptotics of the solution is characterized by a length scale proportional to t 1 3 instead of the usual t 1 2 scaling typical to parabolic problems.
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تاریخ انتشار 2004