Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow
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Publication:2167644
DOI10.3934/mine.2022054OpenAlexW3187068579MaRDI QIDQ2167644
Antonia Diana, Carlo Mantegazza, Serena Della Corte
Publication date: 25 August 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.12234
asymptotic stabilityglobal existencesurface diffusion flowMullins-Sekerka flownonlocal area functional
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Cites Work
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- Minimality via second variation for a nonlocal isoperimetric problem
- Curvature driven interface evolution
- Hitchhiker's guide to the fractional Sobolev spaces
- Lecture notes on mean curvature flow
- On the global minimizers of a nonlocal isoperimetric problem in two dimensions
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- On periodic critical points and local minimizers of the Ohta-Kawasaki functional
- The Hele--Shaw problem and area-preserving curve-shortening motions
- Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- A second order minimality condition for the Mumford-Shah functional
- Level set approach for fractional mean curvature flows
- A center manifold analysis for the Mullins-Sekerka model
- Classical solutions for Hele-Shaw models with surface tension
- Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts
- Sharp stability inequalities for planar double bubbles
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Schwarz' \(P\) and \(D\) surfaces are stable
- The gyroid is embedded and has constant mean curvature companions
- On Hele-Shaw models with surface tension
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Short time existence of the classical solution to the fractional mean curvature flow
- The surface diffusion flow with elasticity in three dimensions
- On an isoperimetric problem with a competing non-local term: quantitative results
- Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
- Minimality via second variation for microphase separation of diblock copolymer melts
- Single droplet pattern in the cylindrical phase of diblock copolymer morphology
- Stable periodic constant mean curvature surfaces and mesoscopic phase separation
- On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
- Cascade of Minimizers for a Nonlocal Isoperimetric Problem in Thin Domains
- On the Convergence of the Ohta–Kawasaki Equation to Motion by Nonlocal Mullins–Sekerka Law
- Stability of spot and ring solutions of the diblock copolymer equation
- Front migration in the nonlinear Cahn-Hilliard equation
- MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY
- Spherical Solutions to a Nonlocal Free Boundary Problem from Diblock Copolymer Morphology
- The Neumann problem on Lipschitz domains
- The Surface Diffusion Flow for Immersed Hypersurfaces
- Existance uniqueness and regularity of classical solutions of the mullins—sekerka problem
- Gyroids of Constant Mean Curvature
- Classical Solutions of Multidimensional Hele--Shaw Models
- Concentrically layered energy equilibria of the di-block copolymer problem
- Riemannian Geometry
- On the first and second variations of a nonlocal isoperimetric problem
- Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem
- Riemannian geometry.
- Loss of convexity for a modified Mullins-Sekerka model arising in diblock copolymer melts
