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Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). (French) Zbl 0591.35063
Summary: We show that the general approach described in the preceding review can be effectively applied to the Kuramoto-Sivashinsky equation. The emphasis lies in the explicit estimate of the lowest possible dimension of the inertial manifold.

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
58J99 Partial differential equations on manifolds; differential operators
37-XX Dynamical systems and ergodic theory
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