Statistical-acoustics models of energy decay in systems of coupled rooms and their relation to geometrical acoustics

2004 ◽  
Vol 116 (2) ◽  
pp. 958-969 ◽  
Author(s):  
Jason E. Summers ◽  
Rendell R. Torres ◽  
Yasushi Shimizu
Keyword(s):  
Energy Decay ◽  
Geometrical Acoustics ◽  
Coupled Rooms

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.

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
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