Gamma convergence of a family of surface-director bending energies with small tilt

DOI10.1007/S00205-015-0914-6zbMath1395.49037arXiv1501.02600OpenAlexW241239611MaRDI QIDQ5962879

Matthias Röger, Luca Lussardi

Publication date: 25 February 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02600

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (3)

Existence of varifold minimizers for the multiphase Canham-Helfrich functional ⋮ Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs ⋮ The Canham-Helfrich model for the elasticity biomembranes as a limit of mesoscopic energiess

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