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The existence of a global attractor for a Kuramoto-Sivashinsky type equation in 2D

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  • We consider a variation of the Kuramoto-Sivashinsky Equation in space dimension two. We show that under some assumptions the equation is globally well-posed and posseses a global attractor in the periodic case. The analysis is based on the Lyapunov function approach, point dissipativeness and asymptotic compactness.
    Mathematics Subject Classification: Primary: 35B41, 37L30; Secondary: 35B40.

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