Long-wave instabilities and saturation in thin film equations

DOI<625::AID-CPA3>3.0.CO;2-9 10.1002/(SICI)1097-0312(199806)51:6<625::AID-CPA3>3.0.CO;2-9zbMath0916.35008OpenAlexW1998136115MaRDI QIDQ3839836

M. C. Pugh, Andrea L. Bertozzi

Publication date: 23 November 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199806)51:6<625::aid-cpa3>3.0.co;2-9

zbMATH Keywords

singularities surface tension viscous flow degenerate diffusion blow up energy methods saturation thin films lubrication approximation long-wave instability finite-time singularities Cahn-Hilliard type interface models existence of non-negative weak solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Reaction effects in flows (76V05)

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