Higher-order phase transitions with line-tension effect
Bernardo Galvão-Sousa (2011)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid.
This problem, also known as the liquid-drop problem, was studied by Modica in [