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The Canham-Helfrich model for the elasticity biomembranes as a limit of mesoscopic energiess

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Publication:1980271
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DOI10.7546/giq-21-2020-170-180zbMath1471.49010OpenAlexW3092302322MaRDI QIDQ1980271

Luca Lussardi

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-170-180

zbMATH Keywords

\(\Gamma\)-convergencevarifoldsbiomembranescurvature functionals


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Biophysics (92C05) Membranes (74K15) Variational principles of physics (49S05)




Cites Work

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  • Geometry of membranes
  • Variational analysis of a mesoscale model for bilayer membranes
  • Partial localization, lipid bilayers, and the elastica functional
  • Analysis aspects of Willmore surfaces
  • An introduction to \(\Gamma\)-convergence
  • Elastic bending energy: a variational approach
  • Uniqueness and transport density in Monge's mass transportation problem
  • Existence of surfaces minimizing the Willmore functional
  • Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs
  • Gamma convergence of a family of surface-director bending energies with small tilt
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