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.

引用

页数：15

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