کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417835 1631565 2014 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Passage to the limit over small parameters in the viscous Cahn-Hilliard equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Passage to the limit over small parameters in the viscous Cahn-Hilliard equation
چکیده انگلیسی

We study singular passage to the limit over different small parameters for the viscous Cahn-Hilliard equation under weak growth assumptions on the nonlinearity φ. A rigorous proof of convergence to solutions of either the Cahn-Hilliard equation, or of the Allen-Cahn equation, or of the Sobolev equation, depending on the choice of the parameter, is provided. We also study the singular limit of the Cahn-Hilliard equation as the parameter in the fourth-order term goes to zero. In particular, we show that a Radon measure-valued solution of the limiting ill-posed problem can arise, depending on the behavior of the nonlinearity φ at infinity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 420, Issue 2, 15 December 2014, Pages 1265-1300
نویسندگان
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