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Numerical Analysis Seminar: Koffi Enakoutsa and Xinghao Dong , UCLA, The Morrey Conjecture: Insights from Numerical Simulations on Quasi-Convexity and Rank-One Convexity.

April 11, 2023 | 3:00 pm - 4:00 pm EDT

The Morrey Conjecture concerns quasi-convexity and rank-one convexity of functions. While the former implies the latter, it’s unclear if the converse is true. Sverak proved the conjecture in 3D, but it remains unresolved in the planar case. Analyzing these properties analytically is difficult, especially for vector-valued functions, hence we perform numerical simulations using example functions by Dacorogna and Marcellini. The results suggest that the Morrey Conjecture holds true for these functions. (Authors: Koffi Enakoutsa and Xinghao Dong  from the UCLA Math Department)

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April 11, 2023
3:00 pm - 4:00 pm EDT
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