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Yıl 2020, Cilt: 3 Sayı: 1, 47 - 54, 15.12.2020

Erhan Pişkin , Fatma Ekinci

Öz

Kaynakça

  • 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

Yıl 2020, Cilt: 3 Sayı: 1, 47 - 54, 15.12.2020

Erhan Pişkin , Fatma Ekinci

Öz

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.

Anahtar Kelimeler

Global existence Degenerate damping term Plate equation

Kaynakça

  • 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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Erhan Pişkin

Fatma Ekinci

Yayımlanma Tarihi 15 Aralık 2020
Kabul Tarihi 2 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

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. Aralık 2020;3(1):47-54.
Chicago Pişkin, Erhan, ve Fatma Ekinci. “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation With Degenerate Damping Terms”. Conference Proceedings of Science and Technology 3, sy. 1 (Aralık 2020): 47-54.
EndNote Pişkin E, Ekinci F (01 Aralık 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 ve F. Ekinci, “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation with Degenerate Damping Terms”, Conference Proceedings of Science and Technology, c. 3, sy. 1, ss. 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 (Aralık 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 ve Fatma Ekinci. “Global Existence of Solutions for a Coupled Viscoelastic Plate Equation With Degenerate Damping Terms”. Conference Proceedings of Science and Technology, c. 3, sy. 1, 2020, ss. 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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