The Effect of Crystal-Melt Surface Energy on the Stability of Ultra-Thin Melt Films

DOI10.1051/MMNP:2008034zbMath1337.76018OpenAlexW2103325324MaRDI QIDQ2788545

M. Beerman, Lucien Brush

Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008034

zbMATH Keywords

nonlinearphase changelatent heatlubrication theorycrystalinterface instabilitylong wavelengthvan der Waals

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stefan problems, phase changes, etc. (80A22) Lubrication theory (76D08) Interfacial stability and instability in hydrodynamic stability (76E17)

Uses Software

• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite
• Unnamed Item

Cites Work

• Unnamed Item
• The MATLAB ODE Suite
• Control of evaporatively driven instabilities of thin liquid films
• Nonlinear stability of evaporating/condensing liquid films
• Instabilities of Wavy Patterns Governed by Coupled Burgers Equations
• Oscillatory instability and rupture in a thin melt film on its crystal subject to freezing and melting
• A new law of thinning in foam dynamics
• PREMELTING DYNAMICS

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