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On the dynamics of 3d electrified falling films

Abstract: In this article, we consider a non-local variant of the KuramotoSivashinsky equation in three dimensions (2D interface). Besides showing the global wellposedness of this equation we also obtain some qualitative properties of the solutions. In particular, we prove that the solutions become analytic in the spatial variable for positive time, the existence of a compact global attractor and an upper bound on the number of spatial oscillations of the solutions. We observe that such a bound is particularly interesting due to the chaotic behavior of the solutions.

Other publications of the same journal or congress with authors from the University of Cantabria

 Fuente: Discrete and Continuous Dynamical Systems - Series A, 41 (9), 4041 - 4064

Publisher: American Institute of Mathematical Sciences

 Publication date: 01/09/2021

No. of pages: 24

Publication type: Article

 DOI: 10.3934/dcds.2021027

ISSN: 1553-5231,1078-0947

 Spanish project: PID2019-109348GA-I00

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