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Stochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations

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  • Hong Yin

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.

Suggested Citation

  • Hong Yin, 2010. "Stochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations," International Journal of Stochastic Analysis, Hindawi, vol. 2010, pages 1-24, June.
    • Handle: RePEc:hin:jnijsa:730492
    DOI: 10.1155/2010/730492
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