A dynamic theory for contact angle hysteresis on chemically rough boundary

DOI10.3934/dcds.2017044zbMath1372.35131OpenAlexW2558081312MaRDI QIDQ501486

Xiao-Ping Wang, Xianmin Xu

Publication date: 9 January 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017044

zbMATH Keywords

Cahn-Hilliard equationasymptotic analysiscontact angle hysteresis

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Liquid-gas two-phase flows, bubbly flows (76T10) Initial value problems for higher-order parabolic equations (35K30) Pattern formations in context of PDEs (35B36)

Related Items (5)

Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces ⋮ Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system ⋮ Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces ⋮ Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition ⋮ Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition

Cites Work

• Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics
• A new model for contact angle hysteresis
• Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
• Front migration in the nonlinear Cahn-Hilliard equation
• Moving contact line on chemically patterned surfaces
• Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model

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