Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies

DOI10.1016/J.AML.2014.03.011zbMath1320.35051arXiv1310.1499OpenAlexW2152480996MaRDI QIDQ2349279

Markus Schmuck, Grigorios A. Pavliotis, Serafim Kalliadasis

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1499

zbMATH Keywords

wettingporous mediamultiscale analysisphase field models

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

A note on iterations-based derivations of high-order homogenization correctors for multiscale semi-linear elliptic equations ⋮ Rate of Convergence of General Phase Field Equations in Strongly Heterogeneous Media Toward Their Homogenized Limit ⋮ Strong solvability up to clogging of an effective diffusion–precipitation model in an evolving porous medium ⋮ Computational investigation of porous media phase field formulations: microscopic, effective macroscopic, and Langevin equations

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• Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
• New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials
• Derivation of effective macroscopic Stokes–Cahn–Hilliard equations for periodic immiscible flows in porous media

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