Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

被引:0
|
作者
Kakumani, Bhargav Kumar [1 ]
Yadav, Suman Prabha [1 ]
机构
[1] BITS Pilani, Dept Math, Hyderabad Campus, Hyderabad, India
关键词
Viscoelasticity; global existence; decay estimates; convexity; logarithmic nonlinearity; GENERAL DECAY RESULT; VARIABLE EXPONENT; STABILITY; NONEXISTENCE; HISTORY; SYSTEM; RATES;
D O I
10.3233/ASY-231859
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Here we prove the existence of the solution to the problem using the Faedo-Galerkin method. Also, we prove few general decay rate results.
引用
收藏
页码:399 / 419
页数:21
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