A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit

DOI10.1007/s00205-014-0839-5zbMath1317.35252OpenAlexW1993435384MaRDI QIDQ2354691

Benoît Merlet

Publication date: 20 July 2015

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

Full work available at URL: https://doi.org/10.1007/s00205-014-0839-5

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Variational analysis of a mesoscale model for bilayer membranes ⋮ Gamma convergence of a family of surface-director bending energies with small tilt ⋮ Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions ⋮ A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory

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