具有非线性阻尼和源项的弹性弦方程解的爆破

doi:10.3969/j.issn.1006-8074.2022.03.002

数学理论与应用 ›› 2022, Vol. 42 ›› Issue (3): 21-.doi: 10.3969/j.issn.1006-8074.2022.03.002

具有非线性阻尼和源项的弹性弦方程解的爆破

张再云^*，欧阳前程，邹鹏程，王琼，凌文镜

湖南理工学院数学学院, 岳阳, 414006

出版日期:2022-09-30 发布日期:2022-09-28

Blow up Solutions of the Elastic String Equation with Nonlinear Damping and Source Terms

Zhang Zaiyun^*， Ouyang Qiancheng， Zou Pengcheng， Wang Qiong， Ling Wenjing

School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, China

Online:2022-09-30 Published:2022-09-28
Supported by:
This work is supported by NSF grant of Hunan (No. 2021JJ30297) and the Research and Innovation team of Hunan Institute of Science and Technology (No. 2019-TD-15)

摘要/Abstract

摘要： 本文研究具有非线性阻尼和源项的弹性弦方程, 基于文献[43]的思想, 利用扰动的能量方法, 研究其正初始能量解的爆破问题.

关键词: 弹性弦方程, 爆破, 正初始能量, 扰动的能量方法

Abstract: In this paper, we consider the elastic string equation with nonlinear damping and source terms. Following the ideas of Zhang and Miao [43] the blow up of the solutions with positive initial energy is investigated by the perturbed energy method.

Key words: Elastic string equation, Blow up, Positive initial energy, Perturbed energy method

张再云, 欧阳前程, 邹鹏程, 王琼, 凌文镜. 具有非线性阻尼和源项的弹性弦方程解的爆破[J]. 数学理论与应用, 2022, 42(3): 21-.

Zhang Zaiyun, Ouyang Qiancheng, Zou Pengcheng, Wang Qiong, Ling Wenjing. Blow up Solutions of the Elastic String Equation with Nonlinear Damping and Source Terms[J]. Mathematical Theory and Applications, 2022, 42(3): 21-.

具有非线性阻尼和源项的弹性弦方程解的爆破

Blow up Solutions of the Elastic String Equation with Nonlinear Damping and Source Terms

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