Research Article

Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform

Volume: 1 Number: 2 November 10, 2018
Mathematical Advances in Pure and Applied Sciences Cover
Mathematical Advances in Pure and Applied Sciences
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Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform

Abstract

The wave equation with fading memory, in bounded domain, has been deeply studied by several authors. Here, we establish a decay results for a class of weak-viscoelastic wave
system in IR^n. We are going to construct an appropriate Lyapunov function associate with our main system by taking the Fourier transform. The main question here is: If the
dissipation given by the weak-viscoelasticity is strong enough to drag a rate of decay for the whole system, what type of rate of decay can we expect? 

Keywords

References

  1. Reference1
  2. Reference2
  3. Reference3

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Kassah L. Lakhdar * This is me

Saleh Boulaaras This is me

Amar Guesmia This is me

Publication Date

November 10, 2018

Submission Date

April 22, 2018

Acceptance Date

October 15, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

IZ

https://izlik.org/JA75WK75MC

Cite

RIS / Bibtex
APA
Zennir, K., L. Lakhdar, K., Boulaaras, S., & Guesmia, A. (2018). Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. Mathematical Advances in Pure and Applied Sciences, 1(2), 68-76. https://izlik.org/JA75WK75MC
AMA
1.Zennir K, L. Lakhdar K, Boulaaras S, Guesmia A. Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. MAPAS. 2018;1(2):68-76. https://izlik.org/JA75WK75MC
Chicago
Zennir, Khaled, Kassah L. Lakhdar, Saleh Boulaaras, and Amar Guesmia. 2018. “Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform”. Mathematical Advances in Pure and Applied Sciences 1 (2): 68-76. https://izlik.org/JA75WK75MC.
EndNote
Zennir K, L. Lakhdar K, Boulaaras S, Guesmia A (November 1, 2018) Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. Mathematical Advances in Pure and Applied Sciences 1 2 68–76.
IEEE
[1]K. Zennir, K. L. Lakhdar, S. Boulaaras, and A. Guesmia, “Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform”, MAPAS, vol. 1, no. 2, pp. 68–76, Nov. 2018, [Online]. Available: https://izlik.org/JA75WK75MC
ISNAD
Zennir, Khaled - L. Lakhdar, Kassah - Boulaaras, Saleh - Guesmia, Amar. “Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform”. Mathematical Advances in Pure and Applied Sciences 1/2 (November 1, 2018): 68-76. https://izlik.org/JA75WK75MC.
JAMA
1.Zennir K, L. Lakhdar K, Boulaaras S, Guesmia A. Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. MAPAS. 2018;1:68–76.
MLA
Zennir, Khaled, et al. “Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform”. Mathematical Advances in Pure and Applied Sciences, vol. 1, no. 2, Nov. 2018, pp. 68-76, https://izlik.org/JA75WK75MC.
Vancouver
1.Khaled Zennir, Kassah L. Lakhdar, Saleh Boulaaras, Amar Guesmia. Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. MAPAS [Internet]. 2018 Nov. 1;1(2):68-76. Available from: https://izlik.org/JA75WK75MC