An existence theorem for steady Navier-Stokes equations in the axially symmetric case

• Mikhail Korobkov ^[1] ; Konstantin Pileckas ^[2] ; Remigio Russo ^[3]
  1. [1] Novosibirsk State University

     Novosibirsk State University

     Rusia

     
  2. [2] Vilnius University

     Vilnius University

     Lituania

     
  3. [3] Seconda Università di Napoli, Italia

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 1, 2015, págs. 233-262
• Idioma: inglés
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• Resumen

  • We study the nonhomogeneous boundary value problem for the Navier-Stokes equations of steady motion of a viscous incompressible fluid in a bounded three-dimensional domain with multiply connected boundary. We prove that this problem has a solution in some axially symmetric cases, in particular, when all components of the boundary intersect the axis of symmetry.