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Non-linear Models for the Deformation of Cellular Structures
並列摘要
Motivated by the ubiquity Dirichlet like energy functionals in cellular physics, we study deformations of such systems, specifically the constraints governing the interface changes. We prove, in general, that the problems of minimisation of local mean angular distortion and Dirichlet energy are identical (up to a measure). In a more restricted regime of hexagonal tessellations, non-existence of minimisers for nonlinear deformations has been demonstrated.
延伸閱讀
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