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.
Submitted August 19, 2016. Published September 22, 2016.
Math Subject Classifications: 80A22, 35Q79, 35B27.
Key Words: Stefan Problems; asymptotic expansions; phase field models; partial differential equations; homogenization.
Show me the PDF file (185 KB), TEX file for this article.
| Martin Höpker |
Center for Industrial Mathematics
University of Bremen
Postfach 33 04 40, 28334 Bremen, Germany
Return to the EJDE web page