BOUNDARY LAYER ANALYSIS FOR THE FAST HORIZONTAL ROTATING FLUIDSReport as inadecuate




BOUNDARY LAYER ANALYSIS FOR THE FAST HORIZONTAL ROTATING FLUIDS - Download this document for free, or read online. Document in PDF available to download.

1 Wuhan University China 2 LMRS - Laboratoire de Mathématiques Raphaël Salem

Abstract : It is well known that, for fast rotating fluids with the axis of rotation being perpendicular to the boundary, the boundary layer is of Ekman-type, described by a linear ODE system. In this paper we consider fast rotating fluids, with the axis of rotation being parallel to the boundary. We show that the corresponding boundary layer is describe by a nonlinear, degenerated PDE system which is similar to the 2-D Prandtl system. Finally, we prove the well-posedness of the governing system of the boundary layer in the space of analytic functions with respect to tangential variable.





Author: Wei-Xi Li - Van-Sang Ngo - Chao-Jiang Xu -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents