Local-in-space blow-up criteria for two-component nonlinear dispersive wave system

Vural Bayrak; Emil Novruzov; Ibrahim Ozkol

doi:10.3934/dcds.2019263

Article Contents

2019, Volume 39, Issue 10: 6023-6037. Doi: 10.3934/dcds.2019263

This issue Previous Article On the isomorphism problem for non-minimal transformations with discrete spectrum Next Article Weighted elliptic estimates for a mixed boundary system related to the Dirichlet-Neumann operator on a corner domain

Local-in-space blow-up criteria for two-component nonlinear dispersive wave system

1.
Department of Mathematics, Istanbul Technical University, Turkey
2.
Department of Mathematics, Gebze Technical University, Turkey
3.
Department of Aeronautical Engineering, Istanbul Technical University, Turkey

^* Corresponding author: Emil Novruzov
^* Corresponding author: Emil Novruzov

Received: December 31, 2018

Revised: April 30, 2019

Published: July 2019

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Abstract

We investigate the blow-up phenomena for the two-component generalizations of Camassa-Holm equation on the real line. We establish some a local-in-space blow-up criterion for system of coupled equations under certain natural initial profiles. Presented result extends and specifies the earlier blow-up criteria for such type systems.

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Mathematics Subject Classification: Primary: 35B44, 35L05, 37K10.

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