Variational Methods for Microstructural Evolution

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Materials Science and Engineering Laboratory,
NIST, Gaithersburg, MD

Department of Mathematics, Rutgers University,
New Brunswick, New Jersey

• Introduction
  • Inner Products and Norms for Vectors
• Inner Products on Fields
• Examples of Gradient Flows
  • Diffusion
  • Linear Relaxation Kinetics
  • Surface Motion
  • Diffuse Interface Kinetics
    • Cahn-Hilliard Equation
    • Allen-Cahn Equation
  • Motion of Surfaces
    • Level Sets
• Triple Junction Motion for Faceted Interfaces
• Discussion
• References
• About this document ...