Renormalization and scaling methods for quasi-static interface problems

DOI10.1016/j.na.2005.03.035zbMath1153.82331OpenAlexW2141731719MaRDI QIDQ999467

Hüseyin Merdan, Gunduz Caginalp

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.035

zbMATH Keywords

renormalization groupscalinginterface dynamicscapillarity lengthquasi-static regime

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Geometric theory, characteristics, transformations in context of PDEs (35A30) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (1)

The transition between quasi-static and fully dynamic for interfaces

Cites Work

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• Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results
• The transition between quasi-static and fully dynamic for interfaces
• Dynamical renormalization group calculation of a two-phase sharp interface model
• Renormalization Group Calculation of Late Stage Interface Dynamics
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Pattern formation outside of equilibrium
• Renormalization group method. Applications to partial differential equations

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