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2013 Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation
Yongsheng Mi, Chunlai Mu
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/547261

Abstract

We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario. Moreover, we obtain several blow-up results and the blow-up rate of strong solutions. Finally, we consider the asymptotic behavior of solutions.

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Yongsheng Mi. Chunlai Mu. "Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/547261

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950742
MathSciNet: MR3100837
Digital Object Identifier: 10.1155/2013/547261

Rights: Copyright © 2013 Hindawi

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