Primitive Equations with half horizontal viscosity

Martin Saal

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arXiv · 1807.05045

Primitive Equations with half horizontal viscosity

Martin Saal

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Abstract

We consider the $3D$ primitive equations and show, that one does need less than horizontal viscosity to obtain a well-posedness result in Sobolev spaces. Furthermore, we will also investigate the primitive equations with horizontal viscosity and show that these equations are well-posed without imposing any boundary condition for the horizontal velocity components on the vertical boundary.

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Martin Saal. 2018-07-13. Primitive Equations with half horizontal viscosity. https://arxiv.org/abs/1807.05045

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