A Hamilton-Jacobi Equation for the Continuum Limit of Nondominated Sorting

105 points 106 points Application: Polynuclear growth Random model for layer by layer growth [1] 1. Initially a flat crystal in contact with supersaturated vapor. 2. At a random later time, a supercritical nucleus forms, and spreads laterally via attachment of particles at the perimeter. 3. New layers are randomly nucleated upon existing layers. 4. When islands within the same layer collide, they coalesce.