Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the Dirichlet energy

DOI10.1007/s10659-018-9675-4zbMath1401.74043OpenAlexW2806762193MaRDI QIDQ1628796

Ali Taheri, Charles G. Morris

Publication date: 10 December 2018

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: http://sro.sussex.ac.uk/id/eprint/75682/1/FinalJoEMoTa31.pdf

zbMATH Keywords

elastic energyequilibrium equationsmaximal torisymmetric equilibriageneralised annuliincompressible whirl mappings

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Geometric theory, characteristics, transformations in context of PDEs (35A30) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

On a class of stationary loops on \(\mathbf{SO}(n)\) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint ⋮ On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint ⋮ Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem ⋮ The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system \(\Sigma [(u, {\mathscr{P}}), \varOmega\)] ⋮ On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems ⋮ On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition

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