کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256218 1533947 2018 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pathwise upper semi-continuity of random pullback attractors along the time axis
ترجمه فارسی عنوان
به ترتیب، نیمه تداوم قطعی جاذبه های کششی تصادفی در محدوده زمانی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
The pullback attractor of a non-autonomous random dynamical system is a time-indexed family of random sets, typically having the form {At(⋅)}t∈R with each At(⋅) a random set. This paper is concerned with the nature of such time-dependence. It is shown that the upper semi-continuity of the mapping t↦At(ω) for each ω fixed has an equivalence relationship with the uniform compactness of the local union ∪s∈IAs(ω), where I⊂R is compact. Applied to a semi-linear degenerate parabolic equation with additive noise and a wave equation with multiplicative noise we show that, in order to prove the above locally uniform compactness and upper semi-continuity, no additional conditions are required, in which sense the two properties appear to be general properties satisfied by a large number of real models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 374–375, 1 July 2018, Pages 21-34
نویسندگان
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