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Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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A Vector Thermodynamics for Anisotropic Surfaces
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Maximum Principles in Differential Equations
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Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law
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Toward a nonequilibrium thermodynamics of two-phase materials
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On the two-phase Stefan problem with interfacial energy and entropy
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Interfacial energy and the Maxwell rule
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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
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Deforming hypersurfaces of the sphere by their mean curvature
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Curvature and the evolution of fronts
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Curve shortening makes convex curves circular
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Adsorption and surface energy (II): Thermal faceting from minimization of surface energy
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A vector thermodlnamics for anisotropic surfaces—II. Curved and faceted surfaces
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A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
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Growth and perfection of crystals
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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
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A vector thermodynamics for anisotropic surfaces II. Curved and faceted surfaces
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Growth and Perfection of Crystals.
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Supersonic Aerodynamics, A Theoretical Introduction and Foundations of Aerodynamics
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On an area-preserving evolution equation for plane curves
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Crystalline variational problems
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Some Theorems on the Free Energies of Crystal Surfaces
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Fast Reaction, Slow Diffusion, and Curve Shortening
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Über einen geometrischen Satz von Wulff für die Gleichgewichtsform von Kristallen
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On the Kinematic Theory of Crystal Growth and Dissolution Processes, II
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The heat equation shrinking convex plane curves
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The normalized curve shortening flow and homothetic solutions
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The heat equation shrinks embedded plane curves to round points
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A generalized anisotropic damage interface model for finite strains
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Periodic total variation flow of non-divergence type in R n
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Derivation of Kirchhoff-type plate theories for elastic materials with voids
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Anisotropic curvature-driven flow of convex sets
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Convergence in a quasilinear parabolic equation with time almost periodic boundary conditions
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Hyperbolic mean curvature flow in Minkowski space
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Hyperbolic mean curvature flow with a forcing term: Evolution of plane curves
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Equilibria and dislocations in epitaxial growth
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Evolution of convex closed curves under the generalized gradient flow of anisoperimetric ratio
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Self-similar solutions of a 2-D multiple-phase curvature flow
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On the number of solutions to the discrete two-dimensional L0-Minkowski problem
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Phase field simulations of faceted growth for strong anisotropy of kinetic coefficient
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Hyperbolic flow by mean curvature
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Evolution of domain walls in ferroelectric solids
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Multifield theories in mechanics of solids
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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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Phase field models for hypercooled solidification
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A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
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Solution of nonlinear curvature driven evolution of plane convex curves
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Solution of nonlinearly curvature driven evolution of plane curves
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Hyperbolic mean curvature flow: evolution of plane curves
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On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion
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On the effects of elastic stress on the motion of fully faceted interfaces
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Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
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Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces
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General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids
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Three-phase boundary motions under constant velocities. I: The vanishing surface tension limit
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Nonlinear analytic semiflows
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Towards a variational theory of phase transitions involving curvature
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Mean curvature flow by the Allen–Cahn equation
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Mathematical modelling of Tyndall star initiation
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Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow
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Effect of Step Anisotropy on Crystal Growth Inhibition by Immobile Impurity Stoppers
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A Note on the Thermomechanics of Curvature Flows in IR3 and on Surfaces in IR3
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A Variational Approach to Crystalline Triple-Junction Motion
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Equations with Singular Diffusivity
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Configurational Forces and the Dynamics of Planar Cracks in Three-Dimensional Bodies
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Toroidal nuclei of columnar lyotropic chromonic liquid crystals coexisting with an isotropic phase
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On non-convex anisotropic surface energy regularizedviathe Willmore functional: The two-dimensional graph setting
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Discrete anisotropic curvature flow of graphs
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Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay
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A diffuse interface model of grain boundary faceting
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Crystalline variational methods
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On Two Nonlinear Biharmonic Evolution Equations: Existence, Uniqueness and Stability
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Numerical Simulations on Two Nonlinear Biharmonic Evolution Equations
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A Quasi–steady Approximation to an lntegro–differential Model of lnterface Motion
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Stability for evolving graphs by nonlocal weighted curvature
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A geometric model for anisotropic crystal growth
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A caricature of a singular curvature flow in the plane
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Grey-level intensity measurements processing by means of Volterra equations and Least Squares Method for Video restoration
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Existence and uniqueness for anisotropic and crystalline mean curvature flows
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A transport theorem for moving interfaces
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Some remarks on the Stefan problem with surface structure
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