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

  • Masao YamazakiEmail author
Article

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.

Keywords

Navier–Stokes equation 

Mathematics Subject Classification (2000)

35Q30 

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Copyright information

© Università degli Studi di Ferrara 2009

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and EngineeringWaseda UniversityShinjukuJapan

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