The Allen–Cahn model with a time-dependent parameter for motion by mean curvature up to the singularity

Keyphrases

• Allen-Cahn Equation 100%
• Time Parameter 100%
• Motion by Mean Curvature 100%
• Adaptive Mesh Refinement 80%
• Interfacial Thickness 40%
• Thickness Parameter 40%
• Interfacial Parameters 40%
• Two Dimensional 20%
• Phase Separation 20%
• Three-dimensional (3D) 20%
• Three-dimensional Space 20%
• Numerical Experiments 20%
• Finite Element Method 20%
• Superior Performance 20%
• Finite Difference Method 20%
• Mesh Size 20%
• Binary Mixture 20%
• High Computational Cost 20%
• Finite Volume Method 20%
• Curved Surface 20%
• Mean Curvature 20%
• Closed-form Analytic Solution 20%
• Level-set 20%
• Computational Approach 20%
• Temporal Evolution 20%
• Computational Algorithm 20%
• Motion Dynamics 20%
• Mathematical Equations 20%
• Curve Singularity 20%
• Convex Surface 20%
• Fourier Spectral Method 20%
• Two-dimensional Space 20%
• Interfacial Transition Layer 20%
• Two-dimensional Interface 20%
• Motion by Curvature 20%
• Simple Closed Curve 20%
• Method Fourier 20%

Engineering

• Singularities 100%
• Adaptive Mesh 100%
• Two Dimensional 66%
• Dimensional Space 66%
• Phase Separation 33%
• Closed Form 33%
• Numerical Experiment 33%
• Mesh Size 33%
• Computational Cost 33%
• Finite Volume Method 33%
• Initial Condition 33%
• Level Set 33%
• Adaptive Mesh Refinement 33%
• Temporal Evolution 33%
• Mathematical Equation 33%
• Convex Surface 33%
• Simple Closed Curve 33%
• Finite Element Analysis 33%
• Finite Difference Method 33%
• Binary Mixture 33%

Mathematics

• Mean Curvature 100%
• Dimensional Space 50%
• Finite Element Method 25%
• Numerical Experiment 25%
• Finite Difference Method 25%
• Initial Condition 25%
• Computational Cost 25%
• Finite Volume Method 25%
• Spectral Method 25%
• Level Set 25%
• Closed Form 25%
• Computational Approach 25%
• Mathematical Equation 25%
• Simple Closed Curve 25%