کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841985 | 908523 | 2010 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Phase-field systems with nonlinear coupling and dynamic boundary conditions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Phase-field systems with nonlinear coupling and dynamic boundary conditions Phase-field systems with nonlinear coupling and dynamic boundary conditions](/preview/png/841985.png)
چکیده انگلیسی
We consider phase-field systems of Caginalp type on a three-dimensional bounded domain. The order parameter fulfills a dynamic boundary condition, while the (relative) temperature is subject to a homogeneous boundary condition of Dirichlet, Neumann or Robin type. Moreover, the two equations are nonlinearly coupled through a quadratic growth function. Here we extend several results which have been proven by some of the authors for the linear coupling. More precisely, we demonstrate the existence and uniqueness of global solutions. Then we analyze the associated dynamical system and we establish the existence of global as well as exponential attractors. We also discuss the convergence of given solutions to a single equilibrium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issue 5, 1 March 2010, Pages 2375–2399
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issue 5, 1 March 2010, Pages 2375–2399
نویسندگان
Cecilia Cavaterra, Ciprian G. Gal, Maurizio Grasselli, Alain Miranville,