On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations |
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Authors: | Pawe? Konieczny |
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Institution: | Institute for Mathematics and Its Applications, University of Minnesota, 114 Lind Hall, 207 Church St. SE, Minneapolis, MN 55455, USA |
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Abstract: | The dispersive effect of the Coriolis force for the stationary and non-stationary Navier-Stokes equations is investigated. Existence of a unique solution is shown for arbitrary large external force provided the Coriolis force is large enough. In addition to the stationary case, counterparts of several classical results for the non-stationary Navier-Stokes problem have been proven. The analysis is carried out in a new framework of the Fourier-Besov spaces. |
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Keywords: | 35Q30 75D05 |
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