Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 35, Issue 5, Pages 2041-2051Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2015.35.2041
Keywords
Two-component Camassa Holm system; blow up; regularization
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Funding
- Austrian Science Fund (FWF) [J3147]
- Austrian Science Fund (FWF) [J3147] Funding Source: Austrian Science Fund (FWF)
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Following conservative solutions of the two-component Camassa Holm system u(t) - u(txx) + 3uu(x) - 2u(x)u(xx) - uu(xxx) + rho rho(x) = 0, rho(t) + (up)(x) = 0 along characteristics, we determine if wave breaking occurs in the nearby future or not, for initial data u(0) is an element of H-1(R) and rho(0) is an element of L-2(R).
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