\(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes
From MaRDI portal
Publication:2682642
DOI10.1007/s00526-022-02413-2zbMath1506.49006arXiv2207.01974OpenAlexW4318208184MaRDI QIDQ2682642
Anna Marciniak-Czochra, Denis Brazke, Hans Knüpfer
Publication date: 1 February 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.01974
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Membranes (74K15) Length, area, volume, other geometric measure theory (28A75) Cell biology (92C37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Domain formation in membranes near the onset of instability
- Minimality via second variation for a nonlocal isoperimetric problem
- Asymptotic analysis of a second-order singular perturbation model for phase transitions
- On periodic critical points and local minimizers of the Ohta-Kawasaki functional
- Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems
- On an open question about functions of bounded variation.
- The gradient theory of phase transitions and the minimal interface criterion
- A nonlocal isoperimetric problem with dipolar repulsion
- An isoperimetric problem with a competing nonlocal singular term
- Large mass minimizers for isoperimetric problems with integrable nonlocal potentials
- Large mass rigidity for a liquid drop model in 2D with kernels of finite moments
- Second-order asymptotics of the fractional perimeter as \(s \to 1\)
- Asymptotic development by \(\Gamma{}\)-convergence
- Minimality via second variation for microphase separation of diblock copolymer melts
- The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy
- The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density
- Second order expansion for the nonlocal perimeter functional
- Droplet Minimizers of an Isoperimetric Problem with Long-Range Interactions
- Cascade of Minimizers for a Nonlocal Isoperimetric Problem in Thin Domains
- Singular perturbation models in phase transitions for second-order materials
- Uniform energy distribution for an isoperimetric problem with long-range interactions
- COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS
- Determining convex polygons from their covariograms
- A Note on the Gauss-Green Theorem
- Covariograms Generated by Valuations
- Orientation-dependent chord length distributions characterize convex polygons
- The volume of the intersection of a convex body with its translates
- Affine inequalities and radial mean bodies
- On the Multiplicity of Solutions of Two Nonlocal Variational Problems
- A Cahn--Hilliard Model for Cell Motility
- Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
- Linear-Intercept distributions do not characterize plane sets
This page was built for publication: \(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes
