کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527291 | 958770 | 2012 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Burgers equation with affine linear noise: Dynamics and stability
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Burgers equation with affine linear noise: Dynamics and stability The Burgers equation with affine linear noise: Dynamics and stability](/preview/png/10527291.png)
چکیده انگلیسی
We study the dynamics of the Burgers equation on the unit interval driven by affine linear noise. Mild solutions of the Burgers stochastic partial differential equation generate a smooth perfect and locally compacting cocycle on the energy space. Using multiplicative ergodic theory techniques, we establish the existence of a discrete non-random Lyapunov spectrum for the cocycle. We establish a local stable manifold theorem near a hyperbolic stationary point, as well as the existence of local smooth invariant manifolds with finite codimension and a countable global invariant foliation of the energy space relative to an ergodic stationary point.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 4, April 2012, Pages 1887-1916
Journal: Stochastic Processes and their Applications - Volume 122, Issue 4, April 2012, Pages 1887-1916
نویسندگان
Salah Mohammed, Tusheng Zhang,