Title of article
Dynamics of a Nonlocal Kuramoto–Sivashinsky Equation
Author/Authors
Jinqiao Duan، نويسنده , , Vincent J. Ervin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
24
From page
243
To page
266
Abstract
In this paper we study the effects of a “nonlocal” term on the global dynamics of the Kuramoto–Sivashinsky equation. We show that the equation possesses a “family of maximal attractors” parameterized by the mean value of the initial data. The dimension of the attractor is estimated as a function of the coefficient of the nonlocal term and the width of the periodic domain.
Keywords
nonlocal , Attractor , Hausdorff dimension , Hilbert transform , infinitedimensional dynamical system.
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
1998
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
749561
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