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Global weak solutions for a periodic two‐component μ ‐Camassa–Holm system
Author(s) -
Zhang Ying
Publication year - 2013
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.2719
Subject(s) - mathematics , component (thermodynamics) , limit (mathematics) , weak solution , initial value problem , camassa–holm equation , mathematical analysis , physics , integrable system , thermodynamics
In this paper, we consider the global existence of weak solutions for a two‐component μ ‐Camassa–Holm system in the periodic setting. Global existence for strong solutions to the system with smooth approximate initial value is derived. Then, we show that the limit of approximate solutions is a global‐in‐time weak solution of the two‐component μ ‐Camassa–Holm system. Copyright © 2013 John Wiley & Sons, Ltd.