Uniqueness of weak solutions and strict separation property for the nonlocal Cahn–Hilliard equation with singular potential, degenerate mobility, and sources

Puntos clave

• Unique weak solutions exist for the nonlocal Cahn-Hilliard equation, demonstrating robustness under various conditions and complexities.
• Key metrics show that solutions are uniquely determined within a framework defined by singular potential and degenerate mobility features.
• The approach employs advanced mathematical techniques to analyze the nonlocal Cahn-Hilliard equation, focusing on singular potentials and the implications of nonlocal interactions.
• Findings suggest significant implications for mathematical modeling in physical phenomena, with clear connections to potential applications in materials science.