کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839333 1470468 2016 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations
ترجمه فارسی عنوان
صحت و دینامیک معادلات مغناطیسی هیدرودینامیکی تقریبی تصادفی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

The current paper is devoted to the well-posedness and dynamics of the stochastic 2D incompressible fractional Magneto-Hydrodynamic(MHD) equations driven by Gaussian multiplicative noise. The nonlocal fractional diffusion leads to a new difficulty in the convergence since higher order estimates cannot be obtained. The commutator estimates are introduced to overcome these difficulties. Using the stopping time technique and monotonicity arguments, the global existence and uniqueness of the weak solution are obtained in a fixed probability space. Finally, the existence of a random attractor for the random dynamical systems generated by the solution of stochastic MHD equation is presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 133, March 2016, Pages 102–133
نویسندگان
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