Integral Estimates for Approximations by Volume Preserving Maps
Analysis of PDEs
2017-04-19 v1
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 and relates the estimate to incompressible deformations of elastic materials.
Cite
@article{arxiv.1704.05198,
title = {Integral Estimates for Approximations by Volume Preserving Maps},
author = {Christopher Policastro},
journal= {arXiv preprint arXiv:1704.05198},
year = {2017}
}