Energy Decay in a Quasilinear System with Finite and Infinite Memories

2018 ◽  
pp. 235-256
Author(s):  
Muhammad I. Mustafa
Keyword(s):  
Energy Decay ◽  
Quasilinear System

Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations

2019 ◽  
Vol 25 (1) ◽  
pp. 97-110
Author(s):  
Muhammad I. Mustafa ◽  
Mohammad Kafini
Keyword(s):  
Asymptotic Behavior ◽  
General Formula ◽  
Energy Decay ◽  
Decay Rates ◽  
Quasilinear System ◽  
Relaxation Functions ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Equations ◽  
Energy Decay Rates

Abstract In this paper, we consider a nonlinear quasilinear system of two coupled viscoelastic equations and investigate the asymptotic behavior of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions, which improves earlier results existing in the literature.

Positive solutions for a quasilinear system Via blow up

1993 ◽  
Vol 18 (12) ◽  
pp. 2071-2106
Author(s):  
Philippe Clément ◽  
Raúl Manásevich ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
Blow Up ◽  
Quasilinear System

scholarly journals Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fengyun Zhang
Keyword(s):  
Viscoelastic Model ◽  
Energy Decay ◽  
Decay Rates ◽  
Polynomial Form ◽  
Computational Technique ◽  
Exponential Form ◽  
Nonlinear Source ◽  
Priori Estimates ◽  
Energy Decay Rates ◽  
Mathematica Software

This paper considers the fuzzy viscoelastic model with a nonlinear source u t t + L u + ∫ 0 t g t − ζ Δ u ζ d ζ − u γ u − η Δ u t = 0 in a bounded field Ω. Under weak assumptions of the function g t , with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates. As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.

Energy decay for damped Shear beam model and new facts related to the classical Timoshenko system

2021 ◽  
Vol 120 ◽  
pp. 107324
Author(s):  
D.S. Almeida Júnior ◽  
A.J.A. Ramos ◽  
M.M. Freitas
Keyword(s):  
Energy Decay ◽  
Beam Model ◽  
Timoshenko System ◽  
Shear Beam ◽  
Shear Beam Model

scholarly journals On local energy decay for large solutions of the Zakharov-Kuznetsov equation

2021 ◽  
pp. 1-56
Author(s):  
Argenis J. Mendez ◽  
Claudio Muñoz ◽  
Felipe Poblete ◽  
Juan C. Pozo
Keyword(s):  
Energy Decay ◽  
Local Energy ◽  
Large Solutions

scholarly journals ON VACUUM-ENERGY DECAY FROM PARTICLE PRODUCTION

2012 ◽  
Vol 27 (25) ◽  
pp. 1250150 ◽  
Author(s):  
F. R. KLINKHAMER
Keyword(s):  
Vacuum Energy ◽  
Particle Production ◽  
Energy Decay ◽  
Back Reaction ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Consistent Description ◽  
Sitter Spacetime

A simplified (but consistent) description of particle-production back-reaction effects in de Sitter spacetime is given.

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