Abstract
An energy method of Matsumura and Nishida is used to prove the global temporal existence of classical solutions in the dissipative shallow water equations on a spatially periodic horizontal domain. This requires the external forcing, the initial data and the initial first order time derivatives to be sufficiently small. The result is related to the data initialization problem in numerical weather prediction, and extends a local existence result of Bui An Ton for the same equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
