3D Stochastic Primitive Equations of the Large-Scale Ocean: Global Well-Posedness and Attractors |
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Authors: | Boling Guo and Daiwen Huang |
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Institution: | (1) Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China |
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Abstract: | In this paper, we consider the global well-posedness and long-time dynamics for the three-dimensional viscous primitive equations
describing the large-scale oceanic motion under a random forcing, which is an additive white in time noise. We firstly prove
the existence and uniqueness of global strong solutions to the initial boundary value problem for the stochastic primitive
equations. Subsequently, by studying the asymptotic behavior of strong solutions, we obtain the existence of random attractors
for the corresponding random dynamical system. |
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Keywords: | |
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