Boundary dynamics of the sweeping interface

DOI10.1103/PhysRevE.73.061603zbMath1244.82054arXivcond-mat/0508622OpenAlexW2013740467WikidataQ80104493 ScholiaQ80104493MaRDI QIDQ2903679

Hiizu Nakanishi

Publication date: 12 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0508622

zbMATH Keywords

boundary dynamicssweeping interface

Mathematics Subject Classification ID

Other free boundary flows; Hele-Shaw flows (76D27) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Cites Work

• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Modeling and numerical simulations of dendritic crystal growth
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations