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Linear stability of selfsimilar solutions of unstable thin-film equations

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Publication:1048735
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DOI10.4171/IFB/215zbMath1180.35432MaRDI QIDQ1048735

Dejan Slepčev

Publication date: 8 January 2010

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=11&iss=3&rank=2


zbMATH Keywords

Wasserstein metricgradient flowblowupsingularity formationHardy-type inequalitythin-film equation


Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Thin fluid films (76A20)


Related Items (4)

Existence and regularity of source-type self-similar solutions for stable thin-film equations ⋮ Singular limit of an energy minimizer arising from dewetting thin film model with Van der waal, born repulsion and surface tension forces ⋮ On qualitative behaviour of solutions to a thin film equation with a source term ⋮ Boundary spike of the singular limit of an energy minimizing problem







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