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Blow up of solutions for a parabolic equation of Kirchhoff-type with multiple nonlinearities

Yıl 2020, Cilt: 4 Sayı: 1, 10 - 13, 30.12.2020

Erhan Pişkin Fatma Ekinci

Öz

In this paper, we investigated a class of doubly nonlinear parabolic systems with Krichhoff-type.
We prove a blow up of solutions with negatif initial energy.

Anahtar Kelimeler

Blow up

Kaynakça

  • Han Y, Li Q. Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy. Computers and Mathematics with Applications 2018; 75: 3283-3297.
  • Han Y, Gao W, Sun Z, Li H. Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy. Computers and Mathematics with Applications 2018; 76: 2477-2483.
  • Tuan NH, Nam DHQ, Vo TMN. On a backward problem for the Kirchhoff’s model of parabolic type. Computers and Mathematics with Applications 2019; 77: 115-33.
  • Dawidowski L. The quasilinear parabolic kirchhoff equation. Open Mathematics 2017;15 :382.392.
  • Gobbino M. Quasilinear degenerate parabolic equations of Kirchhoff type. Mathematical Methods and Applied Science 1999; 22(5): 375-388.
  • Kundu S, Pani AK, Khebchareon M. On Kirchhoff’s model of parabolic type. Numerical Functional Analysis and Optimization, 2016; 37(6): 719-752.
  • Chang N, Chipot M. Nonlinear nonlocal evolution problems. RACSAM, Rev. R. Acad. Cien. Ser.A. Mat. 2003; 97: 393-415.
  • Zheng S, Chipot M. Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms. Asymptotic Analysis 2005; 45: 301-312.
  • Korpusov MO, Sveshnikov AG. Sufficent close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation, Computational Mathematics and Mathematical Physics 2008; 48(9): 1591-1599.

Yıl 2020, Cilt: 4 Sayı: 1, 10 - 13, 30.12.2020

Erhan Pişkin Fatma Ekinci

Öz

Kaynakça

  • Han Y, Li Q. Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy. Computers and Mathematics with Applications 2018; 75: 3283-3297.
  • Han Y, Gao W, Sun Z, Li H. Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy. Computers and Mathematics with Applications 2018; 76: 2477-2483.
  • Tuan NH, Nam DHQ, Vo TMN. On a backward problem for the Kirchhoff’s model of parabolic type. Computers and Mathematics with Applications 2019; 77: 115-33.
  • Dawidowski L. The quasilinear parabolic kirchhoff equation. Open Mathematics 2017;15 :382.392.
  • Gobbino M. Quasilinear degenerate parabolic equations of Kirchhoff type. Mathematical Methods and Applied Science 1999; 22(5): 375-388.
  • Kundu S, Pani AK, Khebchareon M. On Kirchhoff’s model of parabolic type. Numerical Functional Analysis and Optimization, 2016; 37(6): 719-752.
  • Chang N, Chipot M. Nonlinear nonlocal evolution problems. RACSAM, Rev. R. Acad. Cien. Ser.A. Mat. 2003; 97: 393-415.
  • Zheng S, Chipot M. Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms. Asymptotic Analysis 2005; 45: 301-312.
  • Korpusov MO, Sveshnikov AG. Sufficent close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation, Computational Mathematics and Mathematical Physics 2008; 48(9): 1591-1599.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Erhan Pişkin 0000-0001-6587-4479

Fatma Ekinci

Yayımlanma Tarihi 30 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 4 Sayı: 1

Kaynak Göster

APA Pişkin, E., & Ekinci, F. (2020). Blow up of solutions for a parabolic equation of Kirchhoff-type with multiple nonlinearities. Journal of Engineering and Technology, 4(1), 10-13.