NONLINEAR LOGARITHMIC WAVE EQUATIONS: BLOW-UP PHENOMENA AND THE INFLUENCE OF FRACTIONAL DAMPING, INFINITE MEMORY, AND STRONG DISSIPATION

被引：4

作者：

Aslam, Muhammad fahim ^{[1
,2
]}

Hao, Jianghao ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China

[2] Univ Kotli Azad Jammu & Kashmir, Dept Math, Kotli, Pakistan

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Blow-up phenomena; nonlinear logarithmic wave equations; fractional damping; infinite memory; strong dissipation; GLOBAL-SOLUTIONS; NONEXISTENCE; STABILITY;

D O I：

10.3934/eect.2024034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This article explores blow-up phenomena in nonlinear logarithmic wave equations with fractional damping, infinite memory, and strong dissipation. The paper proves the existence of a local weak solution using semigroup theory. Furthermore, this research demonstrates that under certain conditions in finite time, the local solution may blow-up by using an appropriate Lyapunov functional. The findings highlight the effectiveness of strong damping, particularly when combined with fractional damping.

引用

页码：1423 / 1435

页数：13

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