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A remark on the Navier‐Stokes equations with the Coriolis force
Author(s) -
Zhao Hengjun,
Wang Yinxia
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4532
Subject(s) - mathematics , navier–stokes equations , non dimensionalization and scaling of the navier–stokes equations , primitive equations , scale (ratio) , mathematical analysis , simultaneous equations , compressibility , mechanics , physics , differential equation , quantum mechanics
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.