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Indexed by:Journal Papers

Date of Publication:2015-07-30

Journal:MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Included Journals:SCIE、EI、Scopus

Volume:38

Issue:11

Page Number:2349-2362

ISSN No.:0170-4214

Key Words:modified two-component Dullin-Gottwald-Holm system; weakly dissipative; global weak solutions

Abstract:We consider a weakly dissipative modified two-component Dullin-Gottwald-Holm system. The existence of global weak solutions to the system is established. We first give the well-posedness result of viscous approximate problem and obtain the basic energy estimates. Then, we show that the limit of the viscous approximation solutions is a global weak solution to the system. Copyright (c) 2014 John Wiley & Sons, Ltd.