School of Mathematical & Statistical Sciences Faculty Publications and Presentations
Persistence properties and wave-breaking criteria for a generalized two-component rotational b-family system
Document Type
Article
Publication Date
2020
Abstract
In this paper, we investigate a generalized two-component rotational b-family system arising in the rotating fluid with the effect of the Coriolis force. First, we study the persistence properties of the system in weighted Lp-spaces, for a large class of moderate weights. Secondly, in order to overcome the difficulty arising from higher order nonlinearity and no conservation law, we take the advantage of the specially intrinsic structure of the system and make use of commutator estimate, and then derive two blow-up results for the strong solutions to the system.
Recommended Citation
Yang, Meiling, Yongsheng Li, and Zhijun Qiao. "Persistence properties and wave-breaking criteria for a generalized two-component rotational b-family system." Discrete & Continuous Dynamical Systems: Series A 40, no. 4 (2020). https://doi.org/10.3934/dcds.2020122
Publication Title
Discrete and Continuous Dynamical Systems
DOI
10.3934/dcds.2020122
