کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419107 1339372 2012 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: The almost periodic framework
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: The almost periodic framework
چکیده انگلیسی

Homogenization of a stochastic nonlinear reaction-diffusion equation with a large nonlinear term is considered. Under a general Besicovitch almost periodicity assumption on the coefficients of the equation we prove that the sequence of solutions of the said problem converges in probability towards the solution of a rather different type of equation, namely, the stochastic nonlinear convection-diffusion equation which we explicitly derive in terms of appropriate functionals. We study some particular cases such as the periodic framework, and many others. This is achieved under a suitable generalized concept of Σ-convergence for stochastic processes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 1, 1 October 2012, Pages 186-212
نویسندگان
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