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Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility

Probability 2010-12-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0802.2901,
  title  = {Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility},
  author = {Utpal Manna and Jose-Luis Menaldi and Sivaguru S. Sritharan},
  journal= {arXiv preprint arXiv:0802.2901},
  year   = {2010}
}

Comments

18 pages

R2 v1 2026-06-21T10:14:17.265Z