Confinement-Induced Control of Similarity Solutions in Premelting Dynamics and Other Thin Film Problems

DOI10.1137/18M1176300zbMath1419.76057arXiv1712.09513OpenAlexW3102577030WikidataQ127755983 ScholiaQ127755983MaRDI QIDQ5231201

Satyajit Pramanik, J. S. Wettlaufer

Publication date: 26 August 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09513

zbMATH Keywords

conservation lawssimilarity solutionspremelting dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• Elastic-plated gravity currents
• Premelting dynamics in a continuum model of frost heave
• Exponential Asymptotics for Thin Film Rupture
• PREMELTING DYNAMICS
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