کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1868207 1038417 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the μ-transform: Applications to the Cahn-Hilliard equation
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On the μ-transform: Applications to the Cahn-Hilliard equation
چکیده انگلیسی
The μ-transform was recently introduced and applied to finding exact solutions of some well known nonlinear evolutionary models. In this Letter two new applications of this transform to the Cahn-Hilliard equation are presented. Firstly, an exact solution of this equation with the cubic potential, u‵=(au2+bu−u″)″, is derived. This solution scales with the Lifshitz-Slezov exponent of 1/3. Secondly, an exact solution of a nonlinear parabolic equation u′=(∂F/∂u)″ with a potential F=ulnu+(1−u)ln(1−u) describing the equilibration of a binary mixture in the process of annealing is derived. The procedure of applying the μ-transform is thoroughly discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 358, Issue 2, 9 October 2006, Pages 142-148
نویسندگان
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