The surface diffusion flow with elasticity in the plane
DOI10.1007/s00220-018-3200-2zbMath1458.35406arXiv1707.05171OpenAlexW3099028112WikidataQ110865119 ScholiaQ110865119MaRDI QIDQ1671032
Nicola Fusco, Vesa Julin, Massimiliano Morini
Publication date: 6 September 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.05171
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Energy minimization in equilibrium problems in solid mechanics (74G65) Thin films (74K35) Transformations involving diffusion in solids (74N25) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimality via second variation for a nonlocal isoperimetric problem
- Study of island formation in epitaxially strained films on unbounded domains
- Material voids in elastic solids with anisotropic surface energies
- 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
- Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions
- Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
- Singular perturbations of mean curvature flow
- A level set approach to anisotropic flows with curvature regularization
- Evolution of material voids for highly anisotropic surface energy
- Stability of equilibrium configurations for elastic films in two and three dimensions
- Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
- Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
- Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results
- Surface evolution of elastically stressed films under deposition by a diffuse interface model
- Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films
- A Quantitative Second Order Minimality Criterion for Cavities in Elastic Bodies
- A Regularized Equation for Anisotropic Motion-by-Curvature
- The Surface Diffusion Flow for Immersed Hypersurfaces
- The continuum mechanics of coherent two-phase elastic solids with mass transport
- Epitaxially strained elastic films: the case of anisotropic surface energies
- Local and global minimality results for an isoperimetric problem with long-range interactions
- Scaling Law and Reduced Models for Epitaxially Strained Crystalline Films
- On the first and second variations of a nonlocal isoperimetric problem
- A relaxation result for energies defined on pairs set-function and applications
- Interaction of a Bulk and a Surface Energy with a Geometrical Constraint
- On optimal regularity of free boundary problems and a conjecture of De Giorgi
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Some Theorems on the Free Energies of Crystal Surfaces
This page was built for publication: The surface diffusion flow with elasticity in the plane
