کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609657 1338522 2015 49 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pullback attractors for multi-valued non-compact random dynamical systems generated by reaction–diffusion equations on an unbounded domain
ترجمه فارسی عنوان
جاذب های جذبی برای سیستم های دینامیکی تصادفی چند منظوره تولید شده توسط واکنش معادلات دیفرانسیل در یک دامنه بدون محدودیت؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper we study pullback attractors of reaction–diffusion equations on an unbounded domain with non-autonomous deterministic as well as stochastic forcing terms for which the uniqueness of solutions need not hold. We first present the existence and structure of pullback attractors of multi-valued non-compact random dynamical systems. Then we prove the existence of pullback attractors in L2(Rn)L2(Rn), Lp(Rn)Lp(Rn) and H1(Rn)H1(Rn) for multi-valued non-compact random dynamical systems associated with the reaction–diffusion equations on RnRn, and the identical relation of pullback attractors in different spaces is also provided. In particular, the measurability of pullback attractors is established for reaction–diffusion equations on RnRn.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 2, 15 July 2015, Pages 728–776
نویسندگان
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