Strong solutions and trajectory attractors to the thin-film equation with absorption |
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| Authors: | Oleksiy V. Kapustyan Pavlo O. Kasyanov Roman M. Taranets |
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| Affiliation: | 1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine;2. Institute for Applied System Analysis, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine;3. Institute of Applied Mathematics and Mechanics of the NASU, Sloviansk, Ukraine |
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| Abstract: | 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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| Keywords: | Thin film equation Strong solution Trajectory attractor |
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