Minimizers with topological singularities in two dimensional elasticity

Jonathan Bevan; Xiaodong Yan

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 14, Issue: 1, page 192-209
  • ISSN: 1292-8119

Abstract

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For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that det u vanishes at one point.


How to cite

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Bevan, Jonathan, and Yan, Xiaodong. "Minimizers with topological singularities in two dimensional elasticity." ESAIM: Control, Optimisation and Calculus of Variations 14.1 (2010): 192-209. <http://eudml.org/doc/90863>.

@article{Bevan2010,
abstract = { For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that $\det\nabla u$ vanishes at one point.
},
author = {Bevan, Jonathan, Yan, Xiaodong},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Nonlinear elasticity; singular minimizer; stability; nonlinear elasticity},
language = {eng},
month = {3},
number = {1},
pages = {192-209},
publisher = {EDP Sciences},
title = {Minimizers with topological singularities in two dimensional elasticity},
url = {http://eudml.org/doc/90863},
volume = {14},
year = {2010},
}

TY - JOUR
AU - Bevan, Jonathan
AU - Yan, Xiaodong
TI - Minimizers with topological singularities in two dimensional elasticity
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 14
IS - 1
SP - 192
EP - 209
AB - For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that $\det\nabla u$ vanishes at one point.

LA - eng
KW - Nonlinear elasticity; singular minimizer; stability; nonlinear elasticity
UR - http://eudml.org/doc/90863
ER -

References

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