Integral Estimates for Approximations by Volume Preserving Maps

Christopher Policastro

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arXiv · 1704.05198

Integral Estimates for Approximations by Volume Preserving Maps

Christopher Policastro

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Abstract

A quantitative Brenier decomposition shows that the deviation of a map from volume preserving is bounded by the deviation of the derivative from volume preserving. A study of the matrix nearness problem for $SL(n)$ and $Sp(2n)$ relates the estimate to incompressible deformations of elastic materials.

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Christopher Policastro. 2017-04-18. Integral Estimates for Approximations by Volume Preserving Maps. https://arxiv.org/abs/1704.05198

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