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

Pages: 177 - 197, Volume 14, Issue 1, July 2010

doi:10.3934/dcdsb.2010.14.177       Abstract        Full Text (248.4K)       Related Articles

T. Tachim Medjo - Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199, United States (email)

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.

Keywords:  stochastic primitive equations, exponential stability, asymptotic behavior.
Mathematics Subject Classification:  60H15, 35Q35, 60H30, 35R15.

Received: July 2009;      Revised: March 2010;      Published: April 2010.