Martin Hopker
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.
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.
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Martin Höpker Center for Industrial Mathematics University of Bremen Postfach 33 04 40, 28334 Bremen, Germany email: hoepker@math.uni-bremen.de |
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