THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS

Mohamed Ferhat; Fatima Zohra Mahdı; Ali Hakem

THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS

Abstract

The aim of this paper is to establish a well-posedness result and the existence of finite- dimensional global attractors for a model of a coupled suspension bridge as well as the regularity of global attractor is achieved. This result generalizes the previous result in [6].

Keywords

References

[1] I. Chueshov, I. Lasiecka, Von Karman Evolution Equations: Well-Posedness and Long-Time Dynamics, Springer Monographs in Mathematics, Springer, New York, 2010.
[2] C. M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Ration. Mech. Anal. (1970)37, pp. 204-229.
[3] F. Gazzola, Mathematical Models for Suspension Bridges Nonlinear Structural Instability, Springer international publishing Switzerland 2015.
[4] J.R. Kang, Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory, Bound Value Probl (2016) 206. 1-18.
[5] A.C. Lazer, P.J. McKenna, Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis, SIAM Rev. 32 1990; 4: 537-578.
[6] S. Liu, Q. Ma, Global attractors and regularity for the extensible suspension bridge equations with past history, Korean J. Math. 24 (2016), No. 3, pp. 375-395.
[7] Q. Ma, B. Wang, Existence of pullback attractors for the coupled suspension bridge equations, Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 16, pp. 1-10.
[8] S. A. Messaoudi, A. Bonfoh, S. E. Mukiawa, C. D. Enyid, The global attractor for a suspension bridge with memory and partially hinged boundary conditions, Z. Angew. Math. Mech 97(2)(2017) 1-14.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mohamed Ferhat This is me
0000-0001-9493-256X
Algeria

Fatima Zohra Mahdı This is me
Algeria

Ali Hakem This is me
0000-0001-6145-4514
Algeria

Publication Date

December 1, 2019

Submission Date

June 11, 2019

Acceptance Date

November 4, 2019

Published in Issue

Year 2019 Volume: 37 Number: 4

IZ

https://izlik.org/JA43HL99YH

Cite

RIS / Bibtex

APA

Ferhat, M., Mahdı, F. Z., & Hakem, A. (2019). THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS. Sigma Journal of Engineering and Natural Sciences, 37(4), 1348-1366. https://izlik.org/JA43HL99YH

AMA

1.Ferhat M, Mahdı FZ, Hakem A. THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS. SIGMA. 2019;37(4):1348-1366. https://izlik.org/JA43HL99YH

Chicago

Ferhat, Mohamed, Fatima Zohra Mahdı, and Ali Hakem. 2019. “THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS”. Sigma Journal of Engineering and Natural Sciences 37 (4): 1348-66. https://izlik.org/JA43HL99YH.

EndNote

Ferhat M, Mahdı FZ, Hakem A (December 1, 2019) THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS. Sigma Journal of Engineering and Natural Sciences 37 4 1348–1366.

IEEE

[1]M. Ferhat, F. Z. Mahdı, and A. Hakem, “THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS”, SIGMA, vol. 37, no. 4, pp. 1348–1366, Dec. 2019, [Online]. Available: https://izlik.org/JA43HL99YH

ISNAD

Ferhat, Mohamed - Mahdı, Fatima Zohra - Hakem, Ali. “THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS”. Sigma Journal of Engineering and Natural Sciences 37/4 (December 1, 2019): 1348-1366. https://izlik.org/JA43HL99YH.

JAMA

1.Ferhat M, Mahdı FZ, Hakem A. THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS. SIGMA. 2019;37:1348–1366.

MLA

Ferhat, Mohamed, et al. “THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 4, Dec. 2019, pp. 1348-66, https://izlik.org/JA43HL99YH.

Vancouver

1.Mohamed Ferhat, Fatima Zohra Mahdı, Ali Hakem. THE EXISTENCE OF GLOBAL ATTRACTORS FOR SUSPENSION BRIDGE EQUATIONS. SIGMA [Internet]. 2019 Dec. 1;37(4):1348-66. Available from: https://izlik.org/JA43HL99YH