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Strong solutions and trajectory attractors to the thin-film equation with absorption
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jmaa.2020.124562
Oleksiy V. Kapustyan , Pavlo O. Kasyanov , Roman M. Taranets

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.

中文翻译:

具有吸收的薄膜方程的强解和轨迹吸引子

摘要 我们证明了具有吸收的薄膜方程的非负弱解在时间上的局部和全局存在性,并获得了这些解具有额外规律性的充分条件。此外,对于全局强解类,我们展示了轨迹吸引子的存在。
更新日期:2021-01-01
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