| 一类具有对数非线性项的四阶薄膜方程新的爆破结果 |
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| 引用本文： | 赵元章 施明雨. 一类具有对数非线性项的四阶薄膜方程新的爆破结果[J]. 应用数学, 2021, 34(2): 374-384 |
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| 作者姓名： | 赵元章 施明雨 |
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| 作者单位： | 中国海洋大学数学科学学院, 山东 青岛 266100 |
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| 基金项目： | 山东省自然科学基金面上项目(ZR2019MA072);中央高校基本科研基金(201964008)。 |
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| 摘 要： | 该文侧重研究一类具有对数非线性项的四阶薄膜方程解的爆破现象.目前,此类问题解的爆破结果来看都依赖于井的深度d.本文中,我们建立与井的深度d无关的新爆破结论且给出爆破时间的上界.
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| 关 键 词： | 四阶薄膜方程 对数非线性 爆破 |
| 收稿时间： | 2020-04-22 |
New Blow-up Results of a Fourth-Order Thin Film Equation with Logarithmic Nonlinear Terms |
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| ZHAO Yuanzhang,SHI Mingyu. New Blow-up Results of a Fourth-Order Thin Film Equation with Logarithmic Nonlinear Terms[J]. Mathematica Applicata, 2021, 34(2): 374-384 |
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| Authors: | ZHAO Yuanzhang SHI Mingyu |
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| Affiliation: | (School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | In this paper,we focus on the blow-up phenomena of a fourth-order thin film equation with logarithmic nonlinear terms.At present,the blow-up results of solutions to such problems are dependent on the depth of the potential well d.We establish two new blow-up results which are independent of d;and obtain an upper bound of blow-up time. |
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| Keywords: | Fourth-order thin film equations Logarithmic nonlinear Blow-up |
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