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

Year 2018, Volume: 1 Issue: 2, 68 - 76, 10.11.2018

Khaled Zennir , Kassah L. Lakhdar Saleh Boulaaras Amar Guesmia

https://izlik.org/JA75WK75MC

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

Weak-viscoelastic Fourier transform Decay rates Coupled system

References

  • Reference1
  • Reference2
  • Reference3

Year 2018, Volume: 1 Issue: 2, 68 - 76, 10.11.2018

Khaled Zennir , Kassah L. Lakhdar Saleh Boulaaras Amar Guesmia

https://izlik.org/JA75WK75MC

Abstract

References

  • Reference1
  • Reference2
  • Reference3
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Khaled Zennir

Kassah L. Lakhdar This is me

Saleh Boulaaras This is me

Amar Guesmia This is me

Publication Date November 10, 2018
IZ https://izlik.org/JA75WK75MC
Published in Issue Year 2018 Volume: 1 Issue: 2

Cite

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