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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.

 Fuente: Discrete and Continuous Dynamical Systems - Series A, 2021, 41(9), 4041-4064

 Editorial: American Institute of Mathematical Sciences

 Fecha de publicación: 01/09/2021

 Nº de páginas: 24

 Tipo de publicación: Artículo de Revista

 DOI: 10.3934/dcds.2021027

 ISSN: 1553-5231,1078-0947

 Proyecto español: PID2019-109348GA-I00

 Url de la publicación: https://doi.org/10.3934/dcds.2021027

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