Blow-up criteria for modified two-component generalization of hyper-elastic rod equation

Novruzov E.

Applicable Analysis, cilt.101, sa.15, ss.5305-5322, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 15
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00036811.2021.1889522
  • Dergi Adı: Applicable Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.5305-5322
  • Anahtar Kelimeler: A, Constantin, Hyper-elastic rod equation, blow-up, two-component system, WELL-POSEDNESS, WAVE BREAKING
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

© 2021 Informa UK Limited, trading as Taylor & Francis Group.We investigate the blow-up phenomena for the two-component generalization of hyper-elastic rod equation on the real line. We establish some blow-up criteria for system of coupled equations with density function that in one case alternates its sign and keeps its sign in another case under certain natural initial profiles. Presented results extend and specify the earlier blow-up criteria for such type system.