Qualitative results for a generalized 2-component Camassa-Holm system with weak dissipation term

Authors

Nurhan DÜNDARFollow

DOI

10.55730/1300-0098.3500

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.

Keywords

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

First Page

163

Last Page

185

Recommended Citation

DÜNDAR, Nurhan (2024) "Qualitative results for a generalized 2-component Camassa-Holm system with weak dissipation term," Turkish Journal of Mathematics: Vol. 48: No. 2, Article 6. https://doi.org/10.55730/1300-0098.3500
Available at: https://journals.tubitak.gov.tr/math/vol48/iss2/6