Manifolds of amphiphilic bilayers: stability up to the boundary
From MaRDI portal
Publication:2034022
DOI10.1016/j.jde.2021.05.004zbMath1466.35012arXiv2009.01633OpenAlexW3163024512MaRDI QIDQ2034022
Publication date: 18 June 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.01633
Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Semilinear parabolic equations (35K58)
Related Items (2)
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation ⋮ Curve lengthening via regularized motion against curvature from the strong FCH flow
Cites Work
- Unnamed Item
- Curvature driven flow of bi-layer interfaces
- Approximately invariant manifolds and global dynamics of spike states
- Ostwald ripening for dilute systems under quasistationary dynamics
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Ostwald ripening in two dimensions -- the rigorous derivation of the equations from the Mullins-Sekerka dynamics
- Spectral and dynamical stability of nonlinear waves
- Competition and complexity in amphiphilic polymer morphology
- Existence of pearled patterns in the planar functionalized Cahn-Hilliard equation
- Spectra of functionalized operators arising from hypersurfaces
- Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
- Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
- A phase field formulation of the Willmore problem
- Front migration in the nonlinear Cahn-Hilliard equation
- Pearling Bifurcations in the Strong Functionalized Cahn--Hilliard Free Energy
- Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria
- Gradient invariance of slow energy descent: spectral renormalization and energy landscape techniques
- Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation
- Competitive Geometric Evolution of Amphiphilic Interfaces
- Geometric evolution of bilayers under the functionalized Cahn–Hilliard equation
This page was built for publication: Manifolds of amphiphilic bilayers: stability up to the boundary