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

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11 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 languageEnglish
Pages (from-to)407-423
Number of pages17
JournalAnnali dell'Universita di Ferrara
Volume55
Issue number2
DOIs
Publication statusPublished - 2009 Oct 8

Keywords

  • Navier-Stokes equation

ASJC Scopus subject areas

  • Mathematics(all)

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