A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy
From MaRDI portal
Publication:2677304
DOI10.1515/acv-2020-0113zbMath1505.49013arXiv2003.08017OpenAlexW3013684801MaRDI QIDQ2677304
Masaaki Uesaka, Jun Okamoto, Yoshikazu Giga
Publication date: 13 January 2023
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08017
Structured surfaces and interfaces, coexistent phases (74A50) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Crystals in solids (74N05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions to the Kobayashi-Warren-Carter system
- A phase-field model of grain boundary motion.
- The effect of a singular perturbation on nonconvex variational problems
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
- Generation and propagation of interfaces for reaction-diffusion equations
- Equations with singular diffusivity
- A continuum model of grain boundaries
- On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- The gradient theory of phase transitions and the minimal interface criterion
- Solvability of one-dimensional phase field systems associated with grain boundary motion
- Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
- Revisiting brittle fracture as an energy minimization problem
- Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
- Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion
- A Modica-Mortola approximation for the Steiner problem
- Optimal approximations by piecewise smooth functions and associated variational problems
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Local minimisers and singular perturbations
- Phase transitions and generalized motion by mean curvature
- The Weighted Ambrosio--Tortorelli Approximation Scheme
- Geometrical Evolution of Developed Interfaces
- Energy dissipative solutions to the Kobayashi–Warren–Carter system
- Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case
This page was built for publication: A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy
