General Stability Result of Abstract Thermoelastic System with Infinite Memory

被引:0
作者
Jianghao Hao
Peipei Wang
机构
[1] Shanxi University,School of Mathematical Science
来源
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词
Abstract thermoelastic system; Order of coupling; Infinity memory; General decay; 35B37; 35L55; 74D05; 93D15;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we deal with an abstract thermoelastic system with infinite memory. Under suitable conditions on the order of the coupling, the memory kernel function and the initial values, we give the well-posedness and the general decay rate of the abstract thermoelastic system by semigroup theory and perturbed energy functional technique. Our results allow a wider thermoelastic systems, and the usual exponential and polynomial decay rates are only special cases.
引用
收藏
页码:2549 / 2567
页数:18
相关论文
共 63 条
  • [1] Fabrizio M(2010)A new approach to equations with memory Arch. Ration. Mech. Anal. 198 189-232
  • [2] Giorgi C(2001)Global attractors for a semilinear hyperbolic equation in viscoelasticity J. Math. Anal. Appl. 260 83-99
  • [3] Pata V(1996)Decay rates for viscoelastic plates with memory J. Elast. 44 61-87
  • [4] Giorgi C(2002)Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping Electron. J. Differ. Equ. 2002 1-14
  • [5] Muñoz Revira JE(2003)Frictional versus viscoelastic damping in a semilinear wave equation SIAM J. Control Optim. 42 1310-1324
  • [6] Pata V(2008)Exponential and polynomial decay for a quasilinear viscoelastic equation Nonlinear Anal. 68 785-793
  • [7] Muñoz Revira JE(2007)Global existence and uniform stability of solutions for a quasilinear viscoelastic problem Math. Methods Appl. Sci. 30 665-680
  • [8] Lapa EC(2013)Note on intrinsic decay rates for abstract wave equations with memory J. Math. Phys. 54 1-18
  • [9] Barreto R(2006)Some remarks on stability of semigroups arising from linear viscoelasticity Asymptot. Anal. 46 251-273
  • [10] Cavalcanti MM(2011)Asymptotic stability of abstract dissipative systems with infinite memory J. Math. Anal. Appl. 382 748-760