Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 251, Issue 12, Pages 3558-3582Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2011.08.010
Keywords
A modified two-component Camassa-Holm shallow water system; Semilinear system; Global conservative solutions
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Funding
- NNSFC [10971235]
- RFDP [200805580014]
- NCET [NCET-08-0579]
- Sun Yat-sen University
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We first prove the existence of global conservative solutions to the Cauchy problem for a modified two-component Camassa-Holm shallow water system. Then, we show that these global solutions, which depend continuously on the initial date, construct a semigroup. (C) 2011 Elsevier Inc. All rights reserved.
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