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An analysis of a phase field model of a free boundary
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Elliptic Partial Differential Equations of Second Order
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Analyticity of the free boundary for the Stefan problem
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Partial differential equations of parabolic type
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A vector thermodynamics for anisotropic surfaces
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Mathematical Statistical Mechanics
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Moving Boundary Problems in Heat Flow and Diffusion
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Existence of Strong Solutions for a Fully Hyperbolic Phase-Field Model Based on Type III Heat Conduction with a Logarithmic Nonlinear Term
inferred← citeshttps://doi.org/10.1007/s00009-016-0760-2openalex-snapshot
Higher-Order Anisotropic Caginalp Phase-Field Systems
inferred← citeshttps://doi.org/10.1007/s00028-009-0042-6openalex-snapshot
A system of evolution equations for non-isothermal phase transitions
inferred← citeshttps://doi.org/10.1007/s00028-018-0446-2openalex-snapshot
Regularity and separation from potential barriers for the Cahn–Hilliard equation with singular potential
inferred← citeshttps://doi.org/10.1007/s00028-022-00765-yopenalex-snapshot
Weak and very weak solutions to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains
inferred← citeshttps://doi.org/10.1007/s00030-002-8127-8openalex-snapshot
Global existence for a class of generalized systems for irreversible phase changes
inferred← citeshttps://doi.org/10.1007/s00030-008-7029-9openalex-snapshot
Robust Exponential Attractors for Singularly Perturbed Phase-Field Equations with Dynamic Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s00032-009-0101-zopenalex-snapshot
Continuum Thermodynamics and Phase-Field Models
inferred← citeshttps://doi.org/10.1007/s00032-011-0165-4openalex-snapshot
The Cahn-Hilliard Equation with Logarithmic Potentials
inferred← citeshttps://doi.org/10.1007/s00032-017-0263-zopenalex-snapshot
On a Caginalp Phase-Field System with Two Temperatures and Memory
inferred← citeshttps://doi.org/10.1007/s00033-010-0058-3openalex-snapshot
Instability of spikes in the presence of conservation laws
inferred← citeshttps://doi.org/10.1007/s00033-019-1237-5openalex-snapshot
On the weak solutions to a 3D stochastic Cahn–Hilliard–Navier–Stokes model
inferred← citeshttps://doi.org/10.1007/s00158-012-0781-9openalex-snapshot
Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation
inferred← citeshttps://doi.org/10.1007/s00161-002-0110-4openalex-snapshot
Modeling elastic effects in epitaxial growth
inferred← citeshttps://doi.org/10.1007/s00161-015-0462-1openalex-snapshot
Well-posedness of a two-scale model for liquid phase epitaxy with elasticity
inferred← citeshttps://doi.org/10.1007/s00161-026-01470-8openalex-snapshot
The multiphase-field method based on internal state variables
inferred← citeshttps://doi.org/10.1007/s00205-007-0078-0openalex-snapshot
Attractors for Gradient Flows of Nonconvex Functionals and Applications
inferred← citeshttps://doi.org/10.1007/s00205-012-0571-yopenalex-snapshot
Qualitative Behavior of Solutions for Thermodynamically Consistent Stefan Problems with Surface Tension
inferred← citeshttps://doi.org/10.1007/s00205-013-0713-xopenalex-snapshot
Analysis of the Cahn–Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics
inferred← citeshttps://doi.org/10.1007/s002050100158openalex-snapshot
An Eulerian Description of Fluids Containing Visco-Elastic Particles
inferred← citeshttps://doi.org/10.1007/s00245-004-0794-xopenalex-snapshot
A Quasi-Stationary Phase-Field Model with Micro-Movements
inferred← citeshttps://doi.org/10.1007/s00245-010-9114-9openalex-snapshot
A Phase-Field Model Based on a Three-Phase-Lag Heat Conduction
inferred← citeshttps://doi.org/10.1007/s00245-014-9249-1openalex-snapshot
Optimal Control and Controllability of a Phase Field System with One Control Force
inferred← citeshttps://doi.org/10.1007/s00245-016-9375-zopenalex-snapshot
On Higher-Order Anisotropic Conservative Caginalp Phase-Field Systems
inferred← citeshttps://doi.org/10.1007/s00245-017-9406-4openalex-snapshot
Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls
inferred← citeshttps://doi.org/10.1007/s00245-017-9415-3openalex-snapshot
On a Class of Conserved Phase Field Systems with a Maximal Monotone Perturbation
inferred← citeshttps://doi.org/10.1007/s00245-020-09682-3openalex-snapshot
Sliding Mode Control for a Generalization of the Caginalp Phase-Field System
inferred← citeshttps://doi.org/10.1007/s00245-021-09759-7openalex-snapshot
Distributed Optimal Control of the 2D Cahn–Hilliard–Oberbeck–Boussinesq System for Nonisothermal Viscous Two-Phase Flows
inferred← citeshttps://doi.org/10.1007/s00332-024-10042-6openalex-snapshot
On a Nonlocal Two-Phase Flow with Convective Heat Transfer
inferred← citeshttps://doi.org/10.1007/s00366-022-01767-7openalex-snapshot
Modeling of dendritic solidification and numerical analysis of the phase-field approach to model complex morphologies in alloys
inferred← citeshttps://doi.org/10.1007/s00466-020-01855-9openalex-snapshot
A phase field computational procedure for electromigration with specified contact angle and diffusional anisotropy
inferred← citeshttps://doi.org/10.1007/s00526-010-0342-2openalex-snapshot
Convergence to steady states of solutions to nonlinear integral evolution equations
inferred← citeshttps://doi.org/10.1007/s10013-026-00830-wopenalex-snapshot
On a Stochastic 2D Cahn–Hilliard-Magnetohydrodynamic System Driven by Jump Noise
inferred← citeshttps://doi.org/10.1007/s10231-017-0706-8openalex-snapshot
Unique strong and $${ \mathbb {V} }$$ V -attractor of a three-dimensional globally modified two-phase flow model
inferred← citeshttps://doi.org/10.1007/s10444-014-9367-yopenalex-snapshot
A POD-EIM reduced two-scale model for crystal growth
inferred← citeshttps://doi.org/10.1007/s10473-025-0411-4openalex-snapshot
Well-posedness of 2-D hyperbolic viscous Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1007/s10492-005-0031-1openalex-snapshot
Well-Posedness and Regularity for a Parabolic-Hyperbolic Penrose-Fife Phase Field System
inferred← citeshttps://doi.org/10.1007/s10492-009-0008-6openalex-snapshot
On the Caginalp system with dynamic boundary conditions and singular potentials
inferred← citeshttps://doi.org/10.1007/s10492-012-0014-yopenalex-snapshot
On a phase-field model with a logarithmic nonlinearity
inferred← citeshttps://doi.org/10.1007/s10492-015-0101-yopenalex-snapshot
On a Caginalp phase-field system with a logarithmic nonlinearity
inferred← citeshttps://doi.org/10.1007/s10492-016-0150-xopenalex-snapshot
Solvability of a class of phase field systems related to a sliding mode control problem
inferred← citeshttps://doi.org/10.1007/s10659-012-9398-xopenalex-snapshot
Comparison of a Rapidely Converging Phase Field Model for Interfaces in Solids with the Allen-Cahn Model
inferred← citeshttps://doi.org/10.1007/s10883-020-09500-7openalex-snapshot
Optimal Distributed Control for a Model of Homogeneous Incompressible Two-Phase Flows
inferred← citeshttps://doi.org/10.1007/s10884-012-9248-3openalex-snapshot
Layers in the Presence of Conservation Laws
inferred← citeshttps://doi.org/10.1007/s10884-018-9650-6openalex-snapshot
Stability and Spectral Comparison of a Reaction–Diffusion System with Mass Conservation
inferred← citeshttps://doi.org/10.1007/s10915-004-4610-1openalex-snapshot
A Posteriori Error Estimates and an Adaptive Finite Element Method for the Allen–Cahn Equation and the Mean Curvature Flow
inferred← citeshttps://doi.org/10.1007/s10957-010-9742-xopenalex-snapshot
A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System
inferred← citeshttps://doi.org/10.1007/s10957-010-9743-9openalex-snapshot
A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System
inferred← citeshttps://doi.org/10.1007/s10957-012-0251-yopenalex-snapshot
Simultaneous Identification of Two Time Independent Coefficients in a Nonlinear Phase Field System
inferred← citeshttps://doi.org/10.1007/s10957-015-0721-0openalex-snapshot
Game Control Problem for a Phase Field Equation
inferred← citeshttps://doi.org/10.1007/s10958-005-0002-9openalex-snapshot
Modified Stefan problem, regularization problem, and interior layers
inferred← citeshttps://doi.org/10.1007/s10958-006-0029-6openalex-snapshot
Classical Verigin-Muskat Problem: The Regularization Problem and Internal Layers
inferred← citeshttps://doi.org/10.1007/s11434-013-0092-6openalex-snapshot
Progress and development trends in the numerical modeling of solidification
inferred← citeshttps://doi.org/10.1007/s11784-014-0179-yopenalex-snapshot
On certain mathematical models in continuum thermomechanics
inferred← citeshttps://doi.org/10.1007/s13160-017-0254-zopenalex-snapshot
Nonlocal eigenvalue problems arising in a generalized phase-field-type system
inferred← citeshttps://doi.org/10.1007/s13163-009-0012-0openalex-snapshot
Some optimal control problems for a two-phase field model of solidification
inferred← citeshttps://doi.org/10.1007/s13226-024-00619-yopenalex-snapshot
Phase-field system with two temperatures and a nonlinear coupling term based on the Maxwell-Cattaneo law
inferred← citeshttps://doi.org/10.1007/s40306-025-00567-7openalex-snapshot
Large Deviation for a 2D Cahn-Hilliard-Oldroyd Model of Order One Under Random Influences
inferred← citeshttps://doi.org/10.1007/s40314-025-03491-6openalex-snapshot
Convergence of the solutions for a stochastic Stefan-type system with Robin boundary conditions
inferred← citeshttps://doi.org/10.1007/s40314-026-03745-xopenalex-snapshot
Semi-implicit low-stage deferred correction methods for the anisotropic phase-field dendritic crystal growth model
inferred← citeshttps://doi.org/10.1007/s40314-026-03786-2openalex-snapshot
A finite element approach to simultaneously identifying two coefficients in a nonlinear phase field system
inferred← citeshttps://doi.org/10.1007/s40574-025-00487-2openalex-snapshot
On a stochastic 2D Allen-Cahn-Magnetohydrodynamic system driven by jump noise
inferred← citeshttps://doi.org/10.1016/0003-4916(86)90022-9openalex-snapshot
The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
inferred← citeshttps://doi.org/10.1016/0020-7462(90)90022-2openalex-snapshot
A macroscopic model of phase coarsening
inferred← citeshttps://doi.org/10.1016/0021-9991(91)90254-iopenalex-snapshot
Computation of sharp phase boundaries by spreading: The planar and spherically symmetric cases
inferred← citeshttps://doi.org/10.1016/0022-0248(89)90541-1openalex-snapshot
A numerical study of two-dimensional crystal growth forms in the presence of anisotropic growth kinetics
inferred← citeshttps://doi.org/10.1016/0022-0248(95)00137-9openalex-snapshot
Simulations of experimentally observed dendritic growth behavior using a phase-field model
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