Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms

被引：0

作者：

Sebastião Martins Siqueira Cordeiro

Ducival Carvalho Pereira

Carlos Alessandro da Costa Baldez

Carlos Alberto Raposo da Cunha

机构：

[1] Federal University of Pará,Faculty of Exact Sciences and Technology

[2] State University of Pará,Department of Mathematics

[3] Federal University of of Pará,Faculty of Mathematics

[4] Federal University of Bahia,Department of Mathematics

来源：

Arabian Journal of Mathematics | 2023年 / 12卷

关键词：

35B40; 35L70; 35A01;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This manuscript deals with a Timoshenko system with damping and source. The existence and stability of the solution are analyzed taking into account the competition of the internal damping versus the logarithmic source. We use the potential well theory. For initial data in the stability set created by the Nehari surface, the existence of global solutions is proved using Faedo–Galerkin’s approximation. The exponential decay is given by the Nakao theorem. A numerical approach is presented to illustrate the results obtained.

引用

页码：105 / 118

页数：13

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