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

被引：1
|
作者：
Kapustyan, Oleksiy, V [1 ]
Kasyanov, Pavlo O. [2 ]
Taranets, Roman M. [3 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
[2] Natl Tech Univ Ukraine, Igor Sikorsky Kyiv Polytech Inst, Inst Appl Syst Anal, Kiev, Ukraine
[3] NASU, Inst Appl Math & Mech, Sloviansk, Ukraine
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 493卷 / 02期
关键词：
Thin film equation; Strong solution; Trajectory attractor; MULTIVALUED SEMIFLOWS; GLOBAL ATTRACTORS; BEHAVIOR; LIQUID; SET;
D O I：
10.1016/j.jmaa.2020.124562
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2020 Elsevier Inc. All rights reserved.
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页数：15
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