کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837521 908342 2012 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractor and omega-limit sets structure for a phase-field model of thermal alloys
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global attractor and omega-limit sets structure for a phase-field model of thermal alloys
چکیده انگلیسی

In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with Dirichlet boundary conditions. After that, the existence of global attractors for the associated multi-valued dynamical systems is proved, and the relationship among these sets is established. Finally, we provide a more detailed description of the asymptotic behaviour of solutions via the omega-limit sets. Namely, we obtain a characterization–through the natural stationary system associated to the model–of the elements belonging to the omega-limit sets under suitable assumptions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 13, Issue 4, August 2012, Pages 1676–1691
نویسندگان
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