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Article Contents

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

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

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