Jong Uhn Kim

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In this paper, we discuss an initial-boundary value problem associated with the Euler equations with a random noise in a simply connected two-dimensional bounded domain. We present two different results according to the space regularity of the random noise. When the random noise is regular in the space variables, we prove the existence of a unique solution(More)
The initial-boundary value problem associated with the motion of a Bingham fluid is considered. The existence and uniqueness of strong solution is proved under a certain assumption on the data. It is also shown that the solution exists globally in time when the data are small and that the solution converges to a periodic solution if the external force is(More)
We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant measure. We propose a technically different approach to handle such intricate nonlinear equations.
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