Stochastic Navier-Stokes equations with artificial compressibility in random durations (Q1958453)

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scientific article; zbMATH DE number 5793397
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Stochastic Navier-Stokes equations with artificial compressibility in random durations
scientific article; zbMATH DE number 5793397

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    Stochastic Navier-Stokes equations with artificial compressibility in random durations (English)
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    29 September 2010
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    Summary: 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 the 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.
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