Existence and blow-up of weak solutions for a sixth-order equation related to thin solid films
文献类型：期刊论文
| 作者 | Liu, Xiaochuan1,2; Qu, Changzheng2 |
| 刊名 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| 出版日期 | 2010-10-01 |
| 卷号 | 11页码:4214-4222 |
| 关键词 | Existence Uniqueness Regularity Blow-up Sixth-order equation |
| ISSN号 | 1468-1218 |
| DOI | 10.1016/j.nonrwa.2010.05.008 |
| 英文摘要 | This paper is concerned with the sixth-order nonlinear uniformly parabolic equation of the form h(t) = h(x)((6)) + h(xxxx) + gh(xx) + (hh(xx) + ph(x)(2) + qh(2))(xx) which arises in the description of thin, epitaxially strained films in the presence of wetting intersections with the substrate. Under periodic boundary conditions we prove the existence, uniqueness and regularity of the weak solution. Also, we show the finite-time blow-up under the Dirichlet boundary conditions and obtain the estimates for the blow-up time. (C) 2010 Elsevier Ltd. All rights reserved. |
| WOS关键词 | EVOLUTION |
| 资助项目 | NSF for Distinguished Young Scholars of China[10925104] ; NSF of China[10926082] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000281390000082 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 资助机构 | NSF for Distinguished Young Scholars of China ; NSF of China |
| 源URL | [http://119.78.100.186/handle/113462/32355]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Liu, Xiaochuan |
| 作者单位 | 1.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 2.NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Xiaochuan,Qu, Changzheng. Existence and blow-up of weak solutions for a sixth-order equation related to thin solid films[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2010,11:4214-4222. |
| APA | Liu, Xiaochuan,&Qu, Changzheng.(2010).Existence and blow-up of weak solutions for a sixth-order equation related to thin solid films.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,11,4214-4222. |
| MLA | Liu, Xiaochuan,et al."Existence and blow-up of weak solutions for a sixth-order equation related to thin solid films".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11(2010):4214-4222. |
入库方式： OAI收割
来源：近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。