A remark on the Navier‐Stokes equations with the Coriolis force. (2nd August 2017)

• Record Type: Journal Article
• Authors: Zhao, Hengjun; Wang, Yinxia
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 18(2018)
• Page Start: 7323
• Page End: 7332
• Publication Date: 2017-08-02
• Subjects: Navier‐Stokes equations with the coriolis force -- uniform global large solutions; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4532
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this short paper, the initial value problem for the Navier‐Stokes equations with the Coriolis force is investigated. The Coriolis force appears in almost all of the models of meteorology and geophysics dealing with large‐scale phenomena. We prove that existence of uniform global large solutions to the Navier‐Stokes equations with the Coriolis force for a class of special initial data. The results obtained in this paper are different from the previous 2 types of results.