Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation
Dynamical Systems
2007-05-23 v1 Analysis of PDEs
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.
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Cite
@article{arxiv.math/9806033,
title = {Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation},
author = {Jinqiao Duan and Vincent Ervin},
journal= {arXiv preprint arXiv:math/9806033},
year = {2007}
}
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