The exponential behavior of the stochasticprimitive equations in two dimensional space with multiplicativenoise

T. Tachim Medjo

doi:10.3934/dcdsb.2010.14.177

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2010, Volume 14, Issue 1: 177-197. Doi: 10.3934/dcdsb.2010.14.177

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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

Received: July 2009

Revised: March 2010

Published: July 2010

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Abstract

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.

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Mathematics Subject Classification: 60H15, 35Q35, 60H30, 35R15.

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