### Abstract

The vorticity-velocity-pressure formulation for the stationary Stokes problem in 2D is considered. We analyze the corresponding generalized formulation, establish sufficient conditions that guarantee the existence of a generalized solution, and deduce estimates on the difference between the exact solution (i. e., the exact velocity, vorticity, and pressure) and an arbitrary approximating function (velocity, vorticity, pressure) that belongs to the corresponding functional class and satisfies the boundary conditions. For this purpose, we use the method suggested earlier by the second author, which is based on transformations of the integral identity that defines the corresponding generalized solution. Bibliography: 13 titles.

Original language | English |
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Pages (from-to) | 698-706 |

Number of pages | 9 |

Journal | Journal of Mathematical Sciences (United States) |

Volume | 185 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 Sep 2012 |

Externally published | Yes |

### Scopus subject areas

- Statistics and Probability
- Mathematics(all)
- Applied Mathematics

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## Cite this

*Journal of Mathematical Sciences (United States)*,

*185*(5), 698-706. https://doi.org/10.1007/s10958-012-0953-6