Stochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations

Hong Yin

International Journal of Stochastic Analysis, 2010, vol. 2010, 1-24

Abstract:

The existence and uniqueness of adapted solutions to the backward stochastic Navier-Stokes equation with artificial compressibility in two-dimensional bounded domains are shown by Minty-Browder monotonicity argument, finite-dimensional projections, and truncations. Continuity of the solutions with respect to terminal conditions is given, and the convergence of the system to an incompressible flow is also established.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:730492

DOI: 10.1155/2010/730492

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