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Year 2020, Volume: 3 Issue: 1, 47 - 54, 15.12.2020
https://izlik.org/JA29EB52TN

Abstract

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.
  • 9 M. A. Rammaha, S. Sakuntasathien, Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms, Nonlinear Anal-Theor. 72 (2010), 2658-2683.

Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms

Year 2020, Volume: 3 Issue: 1, 47 - 54, 15.12.2020
https://izlik.org/JA29EB52TN

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.

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.
  • 9 M. A. Rammaha, S. Sakuntasathien, Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms, Nonlinear Anal-Theor. 72 (2010), 2658-2683.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Erhan Pişkin

Fatma Ekinci

Acceptance Date October 2, 2020
Publication Date December 15, 2020
IZ https://izlik.org/JA29EB52TN
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

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.Pişkin E, Ekinci F. 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