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Turkish Journal of Mathematics

Abstract

Our main aim in the current study is to examine the mathematical properties of a generalized 2-component Camassa-Holm system with a weakly dissipative term. Firstly, we acquire the theorem of well-posedness in locally for the generalized system with weak dissipation. Then, we demonstrate that this system can reveal the blow-up phenomenon. Finally, we acquire the theorem of global existence utilizing a method of the Lyapunov function.

DOI

10.55730/1300-0098.3500

Keywords

blow-up, global existence, local well-posedness, wave breaking, Weakly dissipative

First Page

163

Last Page

185

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