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July  2010, 14(1): 177-197. doi: 10.3934/dcdsb.2010.14.177

The exponential behavior of the stochastic primitive equations in two dimensional space with multiplicative noise

T. Tachim Medjo 1,

1. 

Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199, United States

Received  July 2009 Revised  March 2010 Published  April 2010

In this article, we study the stability of weak solutions to the stochastic two dimensional (2D) primitive equations (PEs) with multiplicative noise. In particular, we prove that under some conditions on the forcing terms, the weak solutions converge exponentially in the mean square and almost surely exponentially to the stationary solutions.
Keywords: asymptotic behavior., stochastic primitive equations, exponential stability.
Mathematics Subject Classification: 60H15, 35Q35, 60H30, 35R1.
Citation: T. Tachim Medjo. The exponential behavior of the stochastic primitive equations in two dimensional space with multiplicative noise. Discrete & Continuous Dynamical Systems - B, 2010, 14 (1) : 177-197. doi: 10.3934/dcdsb.2010.14.177
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