caa a22 4500 605515689 CHVBK 20210128100710.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00205-014-0839-5 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0839-5 Merlet Benoît Centre de Mathématiques Appliquées (CMAP), Ecole Polytechnique, 91128, Palaiseau, France aut A Highly Anisotropic Nonlinear Elasticity Model for Vesicles I. Eulerian Formulation, Rigidity Estimates and Vanishing Energy Limit [Elektronische Daten] [Benoît Merlet] We propose a nonlinear elasticity model for vesicle membranes which is an Eulerian version of a model introduced by Pantz and Trabelsi. We describe the limit behavior of sequences of configurations whose energy goes to 0 in a fixed domain. The material is highly anisotropic and the analysis is based on some rigidity estimates adapted to this anisotropy. The main part of the paper is devoted to these estimates and to some of their consequences. The strongest form of these estimates are used in a second article to derive the thin-shell limit bending theory of the model. Springer-Verlag Berlin Heidelberg, 2015 Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/2(2015-08-01), 651-680 0003-9527 217:2<651 2015 217 205 https://doi.org/10.1007/s00205-014-0839-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0839-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Merlet Benoît Centre de Mathématiques Appliquées (CMAP), Ecole Polytechnique, 91128, Palaiseau, France aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/2(2015-08-01), 651-680 0003-9527 217:2<651 2015 217 205