A. Shachar

activity

20162021

most citedOn the role of curvature in the elastic energy of non-Euclidean thin bodies

16 citations · 28 across the 4 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018

A geometric perspective on the Piola identity in Riemannian settings

Raz Kupferman, Asaf Shachar

The Piola identity $div cof \nabla f = 0$ is a central result in the mathematical theory of elasticity. We prove a generalized version of the Piola iden…

math.DG2018★ 1 cited

Regularity via minors and applications to conformal maps

Asaf Shachar

We prove that if the minors of degree $k$ of a Sobolev map $R^{d} \to R^{d}$ are smooth then the map is smooth, when $k, d$ are not both even. We use this result to de…

math.AP2018★ 16 cited

On the role of curvature in the elastic energy of non-Euclidean thin bodies

Cy Maor, Asaf Shachar

We prove a relation between the scaling $h^{β}$ of the elastic energies of shrinking non-Euclidean bodies $S_{h}$ of thickness $h \to 0$ , and the curvature along their mid-surface $S$ .…