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

Cilt: 3 Sayı: 1 15 Aralık 2020
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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

Kaynakça

  1. 1 J. M. Rivera, E. C. Lapa, R. Barreto, Decay rates for viscoelastic plates with memory, J. Elasticity 44(1)(1996), 61-87.
  2. 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. 3 S. A. Messaoudi, Global existence and nonexistence in a system of Petrovsky, J. Math. Anal. Appl. 265(2) (2002), 296-308.
  4. 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. 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. 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. 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. 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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yazarlar

Yayımlanma Tarihi

15 Aralık 2020

Gönderilme Tarihi

6 Ağustos 2020

Kabul Tarihi

2 Ekim 2020

Yayımlandığı Sayı

Yıl 1970 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. 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, ve 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 (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
[1]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, Ara. 2020, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, 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, Aralık 2020, ss. 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]. 01 Aralık 2020;3(1):47-54. Erişim adresi: https://izlik.org/JA29EB52TN