Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility

Details Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility

2008-02-20

arxiv.org/abs/0802.2901v1

Communications on Stochastic Analysis, Vol. 1, No. 1 (2007) 123-139

Mathematics

Probability

18 pages

Scientific paper

In this paper we study the stochastic Navier-Stokes equation with artificial
compressibility. The main results of this work are the existence and uniqueness
theorem for strong solutions and the limit to incompressible flow. These
results are obtained by utilizing a local monotonicity property of the sum of
the Stokes operator and the nonlinearity.

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