Cahn–Hilliard equation

Target entity: Cahn–Hilliard equation
Context triple: [John W. Cahn, knownFor, Cahn–Hilliard equation]

• A. Smoluchowski coagulation equation
  The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
• B. Stefan problem
  The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
• C. Monge–Ampère equation
  The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
• D. Charney equation
  The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
• E. Gibbs dividing surface
  The Gibbs dividing surface is an idealized mathematical interface in thermodynamics used to separate phases and define interfacial properties such as surface tension and adsorption.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Cahn–Hilliard equation
Target entity description: The Cahn–Hilliard equation is a nonlinear partial differential equation that models phase separation and coarsening in binary mixtures and other systems undergoing spinodal decomposition.

• A. Smoluchowski coagulation equation
  The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
• B. Stefan problem
  The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.
• C. Monge–Ampère equation
  The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
• D. Charney equation
  The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
• E. Gibbs dividing surface
  The Gibbs dividing surface is an idealized mathematical interface in thermodynamics used to separate phases and define interfacial properties such as surface tension and adsorption.
• F. None of above. chosen