Optimal Dcay Rate Estimates of a Nonlinear Viscoelastic Kirchhoff Plate

被引:3
|
作者
Feng, Baowei [1 ]
Zahri, Mostafa [2 ]
机构
[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Peoples R China
[2] Univ Sharjah, Res Grp MASEP, Dept Math, Coll Sci, Sharjah, U Arab Emirates
基金
中国国家自然科学基金;
关键词
GENERAL DECAY; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; WAVE-EQUATION; UNIFORM DECAY; ENERGY; MEMORY; EXISTENCE;
D O I
10.1155/2020/6079507
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with a nonlinear viscoelastic Kirchhoff plate u(tt)(t) - sigma Delta u(tt)(t) + Delta(2)u(t)- integral(t)(0) g(t - s)Delta(2)u(s)ds = divF(del u(t)). By assuming the minimal conditions on the relaxation function g: g' (t) <= xi (t)G (g(t)), where G is a convex function, we establish optimal explicit and general energy decay results to the system. Our result holds for G(t) = tp with the range p is an element of [1, 2), which improves earlier decay results with the range p is an element of [1, 3/2). At last, we give some numerical illustrations and related comparisons.
引用
收藏
页数:14
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