一些四阶应变波方程在任意正初始能级上的爆破现象

IF 1 Q1 MATHEMATICS

Opuscula Mathematica Pub Date : 2022-01-01 DOI:10.7494/opmath.2022.42.2.219

Q. Lin, Yong-bing Luo

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引用次数: 1

摘要

本文研究了弹塑性微结构模型中涉及耗散结构的一系列四阶应变波方程。利用一些微分不等式，导出了有限时间爆破结果和任意正初始能量下爆破时间上界的估计。并分别讨论了线性弱阻尼和强阻尼对爆破时间的影响机理。

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Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level

In this paper, we study a series of fourth-order strain wave equations involving dissipative structure, which appears in elasto-plastic-microstructure models. By some differential inequalities, we derive the finite time blow up results and the estimates of the upper bound blowup time with arbitrary positive initial energy. We also discuss the influence mechanism of the linear weak damping and strong damping on blowup time, respectively.

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来源期刊

Opuscula Mathematica MATHEMATICS-

CiteScore

1.70

自引率

20.00%

发文量

审稿时长

22 weeks