Existence of elastic deformations with prescribed principal strains and triply orthogonal systems

DOI10.1215/S0012-7094-84-05114-7zbMath0544.53012OpenAlexW1509957847MaRDI QIDQ796835

Deane Yang, Dennis M. DeTurck

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05114-7

zbMATH Keywords

diffeomorphismelastic deformationmoving framenonlinear hyperbolic systemsprincipal strainstriply orthogonal system

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Second-order nonlinear hyperbolic equations (35L70) Local Riemannian geometry (53B20) Implicit function theorems; global Newton methods on manifolds (58C15) Equations in function spaces; evolution equations (58D25)

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