Blow-up criteria for a two-component nonlinear dispersive wave system

Novruzov E., Bayrak V.

JOURNAL OF FUNCTIONAL ANALYSIS, cilt.282, sa.12, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 282 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.jfa.2022.109454
  • Dergi Adı: JOURNAL OF FUNCTIONAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Nonlinear dispersive wave equation, Rod equation, Blow-up, Shallow water, SHALLOW-WATER EQUATION, GLOBAL WEAK SOLUTIONS, WELL-POSEDNESS, BREAKING WAVES, EXISTENCE, PERMANENT
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We investigate the blow-up phenomena for the two-component generalizations of nonlinear dispersive wave equation on the real line that includes the two-component Camassa-Holm system as well as the system for the hyperelasticrod wave equation as special cases. We establish a blowup criterion for system of coupled equations under certain natural initial profiles. The obtained criterion involves only the properties of the data u0 in a neighbourhood of a single point and consequently, it is local-in-space with respect to first component of the system under consideration. (C)2022 Elsevier Inc. All rights reserved.