Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law
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Publication:2821952
DOI10.1088/0951-7715/29/9/2497zbMath1345.35074OpenAlexW1907843217MaRDI QIDQ2821952
Manuel V. Gnann, Felix Otto, Lorenzo Giacomelli
Publication date: 26 September 2016
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11573/924754
asymptoticsinvariant manifoldsperturbationssingular nonlinear boundary value problemsdegenerate parabolic equationsthin fluid filmsboundary value problems on infinite intervals
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Degenerate parabolic equations (35K65)
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Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Existence and regularity of source-type self-similar solutions for stable thin-film equations ⋮ Travelling wave solutions for a thin-film equation related to the spin-coating process ⋮ The Cox–Voinov law for traveling waves in the partial wetting regime* ⋮ Travelling waves in dilatant non-Newtonian thin films ⋮ Thin-film equations with singular potentials: an alternative solution to the contact-line paradox ⋮ Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting and linear mobility ⋮ A dynamical systems approach for the contact-line singularity in thin-film flows ⋮ Revisiting Shikhmurzaev's approach to the contact line problem
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