55 citations · 346 across the 27 of their papers we have counts for
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math-ph2012★ 30 cited
Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media
Markus Schmuck, Marc Pradas, Gregorios A. Pavliotis +1
Using thermodynamic and variational principles we examine a basic phase field model for a mixture of two incompressible fluids in strongly perforated domains. With the help of the…
math-ph2012★ 37 cited
Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
Markus Schmuck, Marc Pradas, Greg A. Pavliotis +1
We derive a new effective macroscopic Cahn-Hilliard equation whose homogeneous free energy is represented by 4-th order polynomials, which form the frequently applied double-well p…