Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation

D. Hilhorst; L. A. Peletier; A. I. Rotariu; G. Sivashinsky

doi:10.3934/dcds.2004.10.557

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2004, Volume 10, Issue 1&2: 557-580. Doi: 10.3934/dcds.2004.10.557

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Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation

1.
Analyse Numérique et EDP, CNRS, Université de Paris Sud, F-91405 Orsay, Cedex
2.
Mathematical Institute, PB 9512, 2300 RA, Leiden
3.
School of Mathematical Sciences, Tel Aviv University

Received: October 31, 2001

Revised: August 31, 2003

Published: December 2003

Abstract Related Papers Cited by

Abstract

We consider a nonlinear fourth order parabolic equation with a nonlocal term which describes the time evolution of a flame front. After having established the existence of a global attractor for a corresponding boundary value problem, we prove the existence of inertial sets.

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Mathematics Subject Classification: 35K30, 35B40, 35B45.

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