EN
Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms
Abstract
We investigate a viscoelastic plate nonlinear system with degenerate damping terms on a bounded domain Rn with Dirichlet boundary conditions. The nonlinearities f1(u; v) and f2(u; v) act as a strong source in the system. Under some restriction on the parameters in the system, we prove the global existence result of weak solution.
Keywords
References
- 1 J. M. Rivera, E. C. Lapa, R. Barreto, Decay rates for viscoelastic plates with memory, J. Elasticity 44(1)(1996), 61-87.
- 2 F. Alabau-Boussouira, P. Cannarsa, D. Sforza, Decay estimates for the second order evolution equation with memory, J. Funct. Anal. 245(5) (2008), 1342-1372.
- 3 S. A. Messaoudi, Global existence and nonexistence in a system of Petrovsky, J. Math. Anal. Appl. 265(2) (2002), 296-308.
- 4 S. T. Wu, General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms, J. Math. Anal. Appl. 406 (2013), 34-48.
- 5 E. Pis ̧kin, F. Ekinci, K. Zennir, Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms, Theoret. Appl. Mech. 47(1) (2020), 123-154.
- 6 E. Pis ̧kin, F. Ekinci, General decay and blowup of solutions for coupled viscoelastic equation of Kirchhoff type with degenerate damping terms, Math. Method Appl. Sci. 42(16) (2019), 1-21.
- 7 S. Kim, JY. Park, YH. Kang, Stochastic quasilinear viscoelastic wave equation with degenerate damping and source terms, Comput. Math. Appl. 75(11) (2018), 3987-3994.
- 8 X. Han, M. Wang, Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source, Math. Nachr. 284(5-6) (2011), 703-716.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Conference Paper
Publication Date
December 15, 2020
Submission Date
August 6, 2020
Acceptance Date
October 2, 2020
Published in Issue
Year 1970 Volume: 3 Number: 1
APA
Pişkin, E., & Ekinci, F. (2020). Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology, 3(1), 47-54. https://izlik.org/JA29EB52TN
AMA
1.Pişkin E, Ekinci F. Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology. 2020;3(1):47-54. https://izlik.org/JA29EB52TN
Chicago
Pişkin, Erhan, and Fatma Ekinci. 2020. “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation With Degenerate Damping Terms”. Conference Proceedings of Science and Technology 3 (1): 47-54. https://izlik.org/JA29EB52TN.
EndNote
Pişkin E, Ekinci F (December 1, 2020) Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology 3 1 47–54.
IEEE
[1]E. Pişkin and F. Ekinci, “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 47–54, Dec. 2020, [Online]. Available: https://izlik.org/JA29EB52TN
ISNAD
Pişkin, Erhan - Ekinci, Fatma. “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation With Degenerate Damping Terms”. Conference Proceedings of Science and Technology 3/1 (December 1, 2020): 47-54. https://izlik.org/JA29EB52TN.
JAMA
1.Pişkin E, Ekinci F. Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology. 2020;3:47–54.
MLA
Pişkin, Erhan, and Fatma Ekinci. “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation With Degenerate Damping Terms”. Conference Proceedings of Science and Technology, vol. 3, no. 1, Dec. 2020, pp. 47-54, https://izlik.org/JA29EB52TN.
Vancouver
1.Erhan Pişkin, Fatma Ekinci. Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology [Internet]. 2020 Dec. 1;3(1):47-54. Available from: https://izlik.org/JA29EB52TN