کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839867 | 1470492 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solvability and long time behavior of nonlinear reaction–diffusion equations with Robin boundary condition
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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: Solvability and long time behavior of nonlinear reaction–diffusion equations with Robin boundary condition Solvability and long time behavior of nonlinear reaction–diffusion equations with Robin boundary condition](/preview/png/839867.png)
چکیده انگلیسی
In this paper, we investigate the long-time behavior and solvability of the reaction–diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition. We begin this paper with the existence and uniqueness of the solution to the problem. For the long-time behavior, we firstly prove the existence of an absorbing set in two different spaces. Secondly, for the autonomous case, the existence of a global attractor is obtained in W21(Ω)∩Lρ+2(Ω).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 108, October 2014, Pages 1–13
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 108, October 2014, Pages 1–13
نویسندگان
Eylem Öztürk, Kamal N. Soltanov,