Blow-up for a thin-film equation with positive initial energy

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• 作者：Jun Zhou ^{jzhouwm@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Thin-film equation ; Positive initial energy ; Blow-up ; Upper bound of blow-up time
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：1133-1138
• 全文大小：245 K

文摘

In this paper, we consider a thin-film equation with nonlocal source, which was studied by Qu and Zhou (2016) [11], where the authors derived the conditions for global existence, blow-up and extinction. We consider the case that the initial energy is positive and establish a blow-up result for this case. Furthermore, the upper bound of the blow-up time is derived.