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October 19, 2021
SIAM (Society for Industrial and Applied Mathematics) News recently published research from Alex Blumenthal, assistant professor in the School of Mathematics, along with colleagues from the University of Maryland and Tulane University. The study validates Batchelor's Law, which is a prediction of ratios for large-scale phenomena involving fluid mechanics. Despite the success of Batchelor’s prediction, no mathematical justification exists outside of highly restrictive settings or toy models. Blumenthal and his colleagues report their recent mathematical results on passive scalar mixing, and the first proof of Batchelor’s Law.