Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system

TL;DR

This paper investigates conditions under which solutions to the periodic two-component Dullin-Gottwald-Holm system blow up or exist globally, providing new blow-up criteria, rates, and global existence results.

Contribution

It introduces new blow-up criteria, determines blow-up rates, and establishes global existence conditions for the two-component Dullin-Gottwald-Holm system.

Findings

Several blow-up results and rates are obtained.

Global existence conditions are established.

The study enhances understanding of solution behaviors for the system.

Abstract

This paper is concerned with blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system. We first obtain several blow-up results and the blow-up rate of strong solutions to the system. We then present a global existence result for strong solutions to the system.