Abstract
In this paper, we mainly study several problems on the weakly dissipative generalized Novikov equation. We first establish the local well-posedness of solutions. We then give the precise blow-up scenarios for the generalized Novikov equation provided the momentum density associated with their initial data changes sign, and obtain the blow-up rate of blow-up solutions. Finally, we prove that the equation has a global solution provided the momentum density associated with their initial data do not change sign.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.