Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow
From MaRDI portal
Publication:4581297
DOI10.1002/cpa.21747zbMath1393.35122arXiv1606.07318OpenAlexW2962823729MaRDI QIDQ4581297
Publication date: 16 August 2018
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.07318
Related Items
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result, Gradient-flow techniques for the analysis of numerical schemes for multi-phase mean-curvature flow, Convergence rates for the Allen-Cahn equation with boundary contact energy: the non-perturbative regime, Weak-strong uniqueness for the mean curvature flow of double bubbles, The existence of a weak solution to volume preserving mean curvature flow in higher dimensions, The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach, Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries, Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy, Analysis and approximations of an optimal control problem for the Allen-Cahn equation, Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem, Weak-strong uniqueness for volume-preserving mean curvature flow, Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds, Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities, On the existence of canonical multi-phase Brakke flows, Efficient energy stable scheme for volume-conserved phase-field elastic bending energy model of lipid vesicles, Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies, Analysis of diffusion generated motion for mean curvature flow in codimension two: a gradient-flow approach, Brakke's inequality for the thresholding scheme, Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions, De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions, Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D, Type-0 singularities in the network flow -- evolution of trees, Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°, The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities
