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arXiv · 0812.2349

Axisymmetric Rotating Fluid Equations

Olfa Bejaoui
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Abstract

We investigate the equations of anisotropic axisymmetric incompressible viscous fluids in the exterior of a cylinder of $\R^3$, rotating around an inhomogeneous vector $B(t, r)$. We prove uniform local existence with respect to the Rossby number in suitable anisotropic Sobolev spaces. We also obtain the propagation of the isotropic Sobolev regularity.

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Olfa Bejaoui. 2008-12-12. Axisymmetric Rotating Fluid Equations. https://arxiv.org/abs/0812.2349

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