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Year 2020, Volume: 3 Issue: 1, 47 - 54, 15.12.2020

Erhan Pişkin , Fatma Ekinci

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

Erhan Pişkin , Fatma Ekinci

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

Global existence Degenerate damping term Plate equation

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 Articles
Authors

Erhan Pişkin

Fatma Ekinci

Publication Date December 15, 2020
Acceptance Date October 2, 2020
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.
AMA Pişkin E, Ekinci F. Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms. Conference Proceedings of Science and Technology. December 2020;3(1):47-54.
Chicago 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 3, no. 1 (December 2020): 47-54.
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 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, 2020.
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 2020), 47-54.
JAMA 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, 2020, pp. 47-54.
Vancouver 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.
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