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On the motion of a phase interface by surface diffusion
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-59938-5_7openalex-snapshot
Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law
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On the two-phase Stefan problem with interfacial energy and entropy
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Multiphase thermomechanics with interfacial structure 1. Heat conduction and the capillary balance law
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Multiphase thermomechanics with interfacial structure
inferredcites →https://doi.org/10.1007/bf00945710openalex-snapshot
On thermomechanical laws for the motion of a phase interface
inferredcites →https://doi.org/10.1007/bf01041068openalex-snapshot
Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
inferredcites →https://doi.org/10.1007/bf01210742openalex-snapshot
Curvature and the evolution of fronts
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The effect of thermal grooving on grain boundary motion
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A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
inferredcites →https://doi.org/10.1016/0021-9991(88)90002-2openalex-snapshot
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
inferredcites →https://doi.org/10.1063/1.1714360openalex-snapshot
Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface Diffusion
inferredcites →https://doi.org/10.1063/1.1722511openalex-snapshot
Two-Dimensional Motion of Idealized Grain Boundaries
inferredcites →https://doi.org/10.1080/14786436108241227openalex-snapshot
Theory of linear facet growth during thermal etching
inferredcites →https://doi.org/10.1090/qam/1031691openalex-snapshot
A transport theorem for moving interfaces
inferredcites →https://doi.org/10.1098/rsta.1951.0006openalex-snapshot
The growth of crystals and the equilibrium structure of their surfaces
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A Hyperbolic Theory for the Evolution of Plane Curves
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The heat equation shrinking convex plane curves
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Motion of level sets by mean curvature. I
inferredcites →https://doi.org/10.4310/jdg/1214446564openalex-snapshot
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Capillary Bias Fields and Interface Branching
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Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact
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A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters
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Moving Surfaces and Abstract Parabolic Evolution Equations
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Capillary Bias Fields and Interface Branching
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Introduction: Fifty Years of Research on Evolving Phase Interfaces
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On thermomechanical laws for the motion of a phase interface
inferred← citeshttps://doi.org/10.1007/s00161-010-0162-9openalex-snapshot
Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model
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Interplay of surface and bulk elasticity in morphological stability of ultra-thin film coatings
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Lifespan theorem for constrained surface diffusion flows
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Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension
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Phase transition kinetics of vanadium pentoxide
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Continuum theory of thermally induced phase transitions based on an order parameter
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Overview no. 113 surface motion by surface diffusion
inferred← citeshttps://doi.org/10.1016/j.aml.2021.107848openalex-snapshot
An energy stable finite difference method for anisotropic surface diffusion on closed curves
inferred← citeshttps://doi.org/10.1016/j.jcp.2004.08.024openalex-snapshot
Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
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A parametric finite element method for fourth order geometric evolution equations
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A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110658openalex-snapshot
An energy-stable parametric finite element method for anisotropic surface diffusion
inferred← citeshttps://doi.org/10.1016/j.jcrysgro.2016.03.031openalex-snapshot
Capillary-mediated interface perturbations: Deterministic pattern formation
inferred← citeshttps://doi.org/10.1016/j.jde.2015.12.008openalex-snapshot
On the flow of non-axisymmetric perturbations of cylinders via surface diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.09.043openalex-snapshot
Lifespan Theorem for simple constrained surface diffusion flows
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The role of the configurational force balance in the nonequilibrium epitaxy of films
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A Unified Treatment of Evolving Interfaces Accounting for Small Deformations and Atomic Transport with Emphasis on Grain-Boundaries and Epitaxy
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The Thermodynamics of Elastically Stressed Crystals
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Triple-junction motion for an Allen–Cahn/Cahn–Hilliard system
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FOURTH ORDER GEOMETRIC EVOLUTION EQUATIONS
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An integrable fourth-order nonlinear evolution equation applied to surface redistribution due to capillarity
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Coherent Solid-State Phase Transitions with Atomic Diffusion: A Thermomechanical Treatment
inferred← citeshttps://doi.org/10.1023/b:elas.0000030018.40095.d5openalex-snapshot
A Continuum Theory of Multispecies Thin Solid Film Growth by Chemical Vapor Deposition
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Critical effective radius for holes in thin films: Energetic and dynamic considerations
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Phase transition in metal oxides under irradiation
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Self-similar grooving solutions to the Mullins’ equation
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The continuum mechanics of coherent two-phase elastic solids with mass transport
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Morphological instability theory for strained alloy film growth: The effect of compositional stresses and species-dependent surface mobilities on ripple formation during epitaxial film deposition
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Morphological Stability of Alloy Thin Films
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Numerical Simulations of Electromigration and Stressmigration Driven Void Evolution in Solder Interconnects
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Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions
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Structure-Preserving Parametric Finite Element Method for Surface Diffusion Based on Lagrange Multiplier Approaches
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Explicit Monotone Stable Super-Time-stepping Methods for Finite Time Singularities
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Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions
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On the Cahn–Hilliard Equation with Degenerate Mobility
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The Surface Diffusion Flow for Immersed Hypersurfaces
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Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities
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Life Span of a Smooth Solution for the Surface Diffusion Flow
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Two-phase continuum mechanics with transport and stress
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Curvature Driven Interface Evolution
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Losing a graph with surface diffusion
inferred← citeshttps://doi.org/10.1515/9783110870473.89openalex-snapshot
Planar motion of an anisotropic interface
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Anisotropic geometric functionals and gradient flows
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Three-phase boundary motion by surface diffusion: stability of a mirror symmetric stationary solution
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Motion by intrinsic Laplacian of curvature
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Surface diffusion including adatoms
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Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
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Self-intersections for the surface diffusion and the volume-preserving mean curvature flow
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