A General Stability Result for a Viscoelastic Moore-Gibson-Thompson Equation in the Whole Space

被引：4

作者：

Bounadja, Hizia ^{[1
]}

Messaoudi, Salim ^{[2
]}

机构：

[1] Ferhat Abbas Univ, Setif 19000, Algeria

[2] Univ Sharjah, Coll Sci, Dept Math, Sharjah 27272, U Arab Emirates

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / SUPPL 1期

关键词：

Moore-Gibson-Thompson equation; Relaxation function; General decay; Fourier space;

D O I：

10.1007/s00245-021-09777-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in a viscoelastic Moore-Gibson-Thompson equation with a type-II memory term and a relaxation function satisfying g'(t) <= -eta(t)g(t). By constructing appropriate Lyapunov functionals in the Fourier space, we establish a general decay estimate of the solution under the condition (beta -gamma/alpha - rho/2 ) > 0. We then give the decay rate of the L-2-norm of the solution. We also give two examples to illustrate our theoretical results.

引用

页码：S509 / S521

页数：13

共 20 条

[1] Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach [J].