Blow-up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions

被引:0
|
作者
Park, Sun-Hye [1 ]
机构
[1] Pusan Natl Univ, Off Educ Accreditat, Busan 46241, South Korea
基金
新加坡国家研究基金会;
关键词
acoustic boundary conditions; blow-up; logarithmic nonlinearity; nonlinear dissipation; Von Karman equation; WAVE-EQUATION; EVOLUTION-EQUATIONS; DECAY;
D O I
10.1002/mma.9007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we address a Von Karman equation with nonlinear dissipation, logarithmic source effect, and acoustic boundary conditions. We devote to investigate a blow-up result of the solutions corresponding to the equation. Owing to the presence of nonlinear dissipation instead of linear dissipation, we have some difficulty in use of the concavity method. Thus, using the energy method, we establish a blow-up result of the solutions with some positive initial energy.
引用
收藏
页码:8632 / 8645
页数:14
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