Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation

Details Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation

1998-06-08

arxiv.org/abs/math/9806033v1

Vol 143 (1998), 243-266

Mathematics

Dynamical Systems

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Scientific paper

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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