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Global existence of weak solutions to a weakly dissipative modified two‐component Dullin–Gottwald–Holm system
Author(s) -
Wang Feng,
Chen Qiaoling,
Mei Jianqin
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3225
Subject(s) - dissipative system , mathematics , component (thermodynamics) , limit (mathematics) , weak solution , mathematical analysis , physics , thermodynamics
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 © 2014 John Wiley & Sons, Ltd.