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

Khaled Zennir; Kassah L. Lakhdar; Saleh Boulaaras; Amar Guesmia

Research Article

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

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

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

Khaled Zennir Kassah L. Lakhdar Saleh Boulaaras Amar Guesmia

Abstract

References

Reference1
Reference2
Reference3

There are 3 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Articles
Authors	Khaled Zennir Kassah L. Lakhdar This is me Saleh Boulaaras This is me Amar Guesmia This is me
Publication Date	November 10, 2018
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.
AMA	Zennir K, L. Lakhdar K, Boulaaras S, Guesmia A. Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform. MAPAS. November 2018;1(2):68-76.
Chicago	Zennir, Khaled, Kassah L. Lakhdar, Saleh Boulaaras, and Amar Guesmia. “Energy Decay of Damped System of Wave Equations in IR^n via Fourier Transform”. Mathematical Advances in Pure and Applied Sciences 1, no. 2 (November 2018): 68-76.
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	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, 2018.
ISNAD	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 1/2 (November 2018), 68-76.
JAMA	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, 2018, pp. 68-76.
Vancouver	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.