Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves
DOI10.1002/zamm.202100169arXiv2112.06898OpenAlexW3216611649MaRDI QIDQ6121535
Alessandra Pluda, Unnamed Author, Georg Dolzmann
Publication date: 26 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06898
Basic methods in fluid mechanics (76Mxx) Existence theories in calculus of variations and optimal control (49Jxx) Incompressible viscous fluids (76Dxx) Physiological, cellular and medical topics (92Cxx) Manifolds and measure-geometric topics (49Qxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Kinks in two-phase lipid bilayer membranes
- Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
- Finite element methods for director fields on flexible surfaces
- A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
- Variational analysis of a mesoscale model for bilayer membranes
- Partial localization, lipid bilayers, and the elastica functional
- Rigidity and stability of spheres in the Helfrich model
- Helfrich's energy and constrained minimisation
- The Helfrich boundary value problem
- Existence of varifold minimizers for the multiphase Canham-Helfrich functional
- Lower semicontinuity for the Helfrich problem
- Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Finite element approximation for the dynamics of fluidic two-phase biomembranes
- A finite element scheme for the evolution of orientational order in fluid membranes
- Small deformations of Helfrich energy minimising surfaces with applications to biomembranes
- Liquid crystals on deformable surfaces
- Approximation of Helfrich's Functional via Diffuse Interfaces
- CONVERGENCE OF AN APPROXIMATION FOR ROTATIONALLY SYMMETRIC TWO-PHASE LIPID BILAYER MEMBRANES
- Global minimizers for axisymmetric multiphase membranes
This page was built for publication: Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves