Long-term behaviour of the primitive equations with wind-driven boundary conditions: Convergence to the Ekman spiral
Abstract
In this article we investigate the long-term behaviour of the 3D incompressible, primitive equations with wind-driven boundary conditions and Coriolis force. We show that every solution converges exponentially fast to the Ekman spiral as t + ∞. In particular, this implies that the Ekman spiral is the unique equilibrium of the system.
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