Existence of solutions to a phase-field model of 3D grain boundary motion governed by a regularized 1-harmonic type flow

DOI10.1007/s00332-023-09923-zzbMath1518.35459arXiv2206.07222OpenAlexW4379979878MaRDI QIDQ6174599

Salvador Moll, Ken Shirakawa, Hiroshi Watanabe

Publication date: 14 July 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.07222

zbMATH Keywords

total variationorientationsparabolic systemgrain boundary motion

Mathematics Subject Classification ID

Singular parabolic equations (35K67) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces
• Compact sets in the space \(L^ p(0,T;B)\)
• Heat flow of \(p\)-harmonic maps with values into spheres
• A continuum model of grain boundaries
• Regular 1-harmonic flow
• Local solvability of a constrained gradient system of total variation
• Approximation of \(p\)-harmonic maps by the penalized equation.
• A three-dimensional misorientation axis- and inclination-dependent Kobayashi-Warren-Carter grain boundary model
• A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
• Convergence of convex sets and of solutions of variational inequalities
• Onp-Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations
• Harmonic Mappings of Riemannian Manifolds
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Ginzburg-Landau vortices

This page was built for publication: Existence of solutions to a phase-field model of 3D grain boundary motion governed by a regularized 1-harmonic type flow