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Dergiler / Journal of Engineering and Technology / 2020 / Cilt: 4 - Sayı: 1

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

Erhan PİŞKİN
Fatma EKİNCİ
Sayfa
10–13
Yayın Tarihi
2020-12-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We prove a blow up of solutions with negatif initial energy.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigated a class of doubly nonlinear parabolic systems with Krichhoff-type.
📊
Temel Bulgular & Veri:In this paper, we investigated a class of doubly nonlinear parabolic systems with Krichhoff-type.
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Sonuç & Katkı:We prove a blow up of solutions with negatif initial energy.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Blow up

Abstract

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.

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Bu Makaleye Atıf Yap

PİŞKİN, E., EKİNCİ, F. (2020). Blow up of solutions for a parabolic equation of Kirchhoff-type with multiple nonlinearities. Journal of Engineering and Technology, Cilt: 4 - Sayı: 1, 10–13. https://ajindex.com/articles/835586

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Kaynakça (7)

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  3. 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.
  4. Kundu S, Pani AK, Khebchareon M. On Kirchhoff’s model of parabolic type. Numerical Functional Analysis and Optimization, 2016; 37(6): 719-752.
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  7. 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.