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

Novruzov E.

Applicable Analysis, vol.101, no.15, pp.5305-5322, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 101 Issue: 15
  • Publication Date: 2022
  • Doi Number: 10.1080/00036811.2021.1889522
  • Journal Name: Applicable Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.5305-5322
  • Keywords: A, Constantin, Hyper-elastic rod equation, blow-up, two-component system, WELL-POSEDNESS, WAVE BREAKING
  • Kocaeli University Affiliated: No

Abstract

© 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.