Sharp interface limit of a homogenized phase field model for phase transitions in porous media

Abstract

A homogenized phase field model for phase transitions in porous media is considered. By making use of the method of formal asymptotic expansion with respect to the interface thickness, a sharp interface limit problem is derived. This limit problem turns out to be similar to the classical Stefan problem with surface tension and kinetic undercooling.

Keywords

• Stefan Problems
• asymptotic expansions
• phase field models
• partial differential equations
• homogenization