Strong solutions and trajectory attractors to the thin-film equation with absorption

Strong solutions and trajectory attractors to the thin-film equation with absorption

We prove local and global in time existence of non-negative weak solutions to the thin-film equation with absorption and obtain sufficient conditions for extra regularity of these solutions. Moreover, for the class of global strong solutions, we show existence of a trajectory attractor.

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Veröffentlicht in:Journal of mathematical analysis and applications 2021-01, Vol.493 (2), p.124562, Article 124562
Hauptverfasser: Kapustyan, Oleksiy V., Kasyanov, Pavlo O., Taranets, Roman M.
Format: Artikel
Sprache:eng
Schlagworte:
Strong solution
Thin film equation
Trajectory attractor
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Beschreibung
Zusammenfassung:We prove local and global in time existence of non-negative weak solutions to the thin-film equation with absorption and obtain sufficient conditions for extra regularity of these solutions. Moreover, for the class of global strong solutions, we show existence of a trajectory attractor.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124562