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Chaotic behavior of an analog of the 2D Kuramoto-Sivashinsky equation

Analysis, Dynamics, and Applications Seminar

Chaotic behavior of an analog of the 2D Kuramoto-Sivashinsky equation
Series: Analysis, Dynamics, and Applications Seminar
Location: Hybrid: Math 402/Online
Presenter: Jiao He, Department of Mathematics, University of Paris-Saclay

In this talk, we consider a non-local variant of the KuramotoSivashinsky equation in three dimensions (2D interface). We show the global well-posedness of this equation and obtain some qualitative properties of the solutions. In particular, we prove the analyticity of the solutions 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. A numerical result will be given at the end.

Hybrid, Math, 402 and Zoom: https://arizona.zoom.us/j/81150211038  Password: “arizona” (all lower case)