The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry

Masao Yamazaki

doi:10.1007/s11565-009-0080-6

The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry

Masao Yamazaki^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

This paper is concerned with the stationary Navier-Stokes equation in the two-dimensional whole plane with external force given by a potential with some symmetry, and gives a condition on the potential sufficient for the existence of a solution of the problem above. This paper also proves the uniqueness of the solution small in appropriate function spaces.

Original language	English
Pages (from-to)	407-423
Number of pages	17
Journal	Annali dell'Universita di Ferrara
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s11565-009-0080-6
Publication status	Published - 2009

Keywords

Navier-Stokes equation

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s11565-009-0080-6

Cite this

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abstract = "This paper is concerned with the stationary Navier-Stokes equation in the two-dimensional whole plane with external force given by a potential with some symmetry, and gives a condition on the potential sufficient for the existence of a solution of the problem above. This paper also proves the uniqueness of the solution small in appropriate function spaces.",

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The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry

Abstract

Keywords

ASJC Scopus subject areas

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