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Yıl 2020, Cilt: 3 Sayı: 1, 55 - 62, 15.12.2020

Erhan Pişkin Fatma Ekinci

Öz

Kaynakça

  • 1 E. Pişkin, 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.
  • 2 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.
  • 3 E. Pişkin, 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.
  • 4 B. Feng, Y. Qin, M. Zhang, General decay for a system of nonlinear viscoelastic wave equations with weak damping, Bound. Value Probl. 146 (2012), 1-11.
  • 5 X.S. Han, M.X. Wang, Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source, Nonlinear Anal. TMA 71 (2009) 5427-5450.
  • 6 B. Said-Houari, S.A. Messaoudi, A. Guesmia, General decay of solutions of a nonlinear system of viscoelastic wave equations, NoDEA 18 (2011), 659-684.
  • 7 S.A. Messaoudi, B. S. Houari, Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms, J. Math. Anal. Appl. 365 (2010), 277-287.
  • 8 E. Pişkin, Global nonexistence of solutions for a system of viscoelastic wave equations with weak damping terms, Malaya J. Mat. 3(2) (2015), 168-174 .
  • 9 E. Pişkin, A lower bound for the blow up time of a system of viscoelastic wave equations with nonlinear damping and source terms, J. Nonlinear Funct. Anal. 2017 (2017), 1-9.
  • 10 A. Benaissa, D. Ouchenane, K. Zennir, Blow up of positive initial energy solutions to system of nonlinear wave equations with degenerate damping and source terms, Nonliner Studies 19(4) (2012), 523-535.
  • 11 K. Zennir, Growth of solutions to system of nonlinear wave equations with degenerate damping and strong sources, Nonlinear Anal. Appl. (2013), 1-11.
  • 12 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. TMA 72 (2010), 2658-2683.
  • 13 E. Vitillaro Global nonexistence theorems for a class of evolution equations with dissipation, Arch. Ration. Mech. Anal. 149 (1999), 155-182.

Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping

Yıl 2020, Cilt: 3 Sayı: 1, 55 - 62, 15.12.2020

Erhan Pişkin Fatma Ekinci

Öz

In this paper, we consider the initial boundary value problem of a coupled viscoelastic Kirchhofftype equations with degenerate damping. Firstly, we prove a local existence theorem by using the Faedo-Galerkin approximations. Then, we study blow up of solutions when initial energy is possitive.

Anahtar Kelimeler

Local existence Blow up Degenerate damping

Kaynakça

  • 1 E. Pişkin, 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.
  • 2 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.
  • 3 E. Pişkin, 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.
  • 4 B. Feng, Y. Qin, M. Zhang, General decay for a system of nonlinear viscoelastic wave equations with weak damping, Bound. Value Probl. 146 (2012), 1-11.
  • 5 X.S. Han, M.X. Wang, Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source, Nonlinear Anal. TMA 71 (2009) 5427-5450.
  • 6 B. Said-Houari, S.A. Messaoudi, A. Guesmia, General decay of solutions of a nonlinear system of viscoelastic wave equations, NoDEA 18 (2011), 659-684.
  • 7 S.A. Messaoudi, B. S. Houari, Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms, J. Math. Anal. Appl. 365 (2010), 277-287.
  • 8 E. Pişkin, Global nonexistence of solutions for a system of viscoelastic wave equations with weak damping terms, Malaya J. Mat. 3(2) (2015), 168-174 .
  • 9 E. Pişkin, A lower bound for the blow up time of a system of viscoelastic wave equations with nonlinear damping and source terms, J. Nonlinear Funct. Anal. 2017 (2017), 1-9.
  • 10 A. Benaissa, D. Ouchenane, K. Zennir, Blow up of positive initial energy solutions to system of nonlinear wave equations with degenerate damping and source terms, Nonliner Studies 19(4) (2012), 523-535.
  • 11 K. Zennir, Growth of solutions to system of nonlinear wave equations with degenerate damping and strong sources, Nonlinear Anal. Appl. (2013), 1-11.
  • 12 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. TMA 72 (2010), 2658-2683.
  • 13 E. Vitillaro Global nonexistence theorems for a class of evolution equations with dissipation, Arch. Ration. Mech. Anal. 149 (1999), 155-182.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Erhan Pişkin

Fatma Ekinci

Yayımlanma Tarihi 15 Aralık 2020
Kabul Tarihi 4 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

APA Pişkin, E., & Ekinci, F. (2020). Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping. Conference Proceedings of Science and Technology, 3(1), 55-62.
AMA Pişkin E, Ekinci F. Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping. Conference Proceedings of Science and Technology. Aralık 2020;3(1):55-62.
Chicago Pişkin, Erhan, ve Fatma Ekinci. “Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations With Degenerate Damping”. Conference Proceedings of Science and Technology 3, sy. 1 (Aralık 2020): 55-62.
EndNote Pişkin E, Ekinci F (01 Aralık 2020) Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping. Conference Proceedings of Science and Technology 3 1 55–62.
IEEE E. Pişkin ve F. Ekinci, “Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping”, Conference Proceedings of Science and Technology, c. 3, sy. 1, ss. 55–62, 2020.
ISNAD Pişkin, Erhan - Ekinci, Fatma. “Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations With Degenerate Damping”. Conference Proceedings of Science and Technology 3/1 (Aralık 2020), 55-62.
JAMA Pişkin E, Ekinci F. Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping. Conference Proceedings of Science and Technology. 2020;3:55–62.
MLA Pişkin, Erhan ve Fatma Ekinci. “Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations With Degenerate Damping”. Conference Proceedings of Science and Technology, c. 3, sy. 1, 2020, ss. 55-62.
Vancouver Pişkin E, Ekinci F. Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping. Conference Proceedings of Science and Technology. 2020;3(1):55-62.
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