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
Recommended Citation
DÜNDAR, N (2024). Qualitative results for a generalized 2-component Camassa-Holm system with weak dissipation term. Turkish Journal of Mathematics 48 (2): 163-185. https://doi.org/10.55730/1300-0098.3500
