Decay of an Extensible Viscoelastic Plate Equation with a Nonlinear Time Delay

2018 ◽  
Vol 42 (5) ◽  
pp. 2265-2285 ◽  
Author(s):  
Baowei Feng ◽  
Khaled Zennir ◽  
Lakhdar Kassah Laouar
Keyword(s):  
Time Delay ◽  
Viscoelastic Plate ◽  
Plate Equation

scholarly journals Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Baowei Feng
Keyword(s):  
Time Delay ◽  
Boundary Value Problem ◽  
Viscoelastic Plate ◽  
Energy Estimates ◽  
Memory Term ◽  
Well Posedness ◽  
Plate Equation ◽  
Delay Term ◽  
Galerkin Approximations ◽  
Energy Perturbation

A plate equation with a memory term and a time delay term in the internal feedback is investigated. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.

scholarly journals Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity

2018 ◽  
Vol 99 (1) ◽  
pp. 50-74 ◽  
Author(s):  
Mohammad M. Al-Gharabli ◽  
Aissa Guesmia ◽  
Salim A. Messaoudi
Keyword(s):  
Asymptotic Stability ◽  
Viscoelastic Plate ◽  
Well Posedness ◽  
Plate Equation ◽  
Stability Results

Exponential stability of a mildly dissipative viscoelastic plate equation with variable density

2018 ◽  
Vol 42 (2) ◽  
pp. 733-741
Author(s):  
Xin-Guang Yang ◽  
Rawlilson de Oliveira Araujo ◽  
Ricardo de Sá Teles
Keyword(s):  
Exponential Stability ◽  
Viscoelastic Plate ◽  
Variable Density ◽  
Plate Equation
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