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

作者：Korobkov Mikhail^*; Pileckas Konstantin; Russo Remigio

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2015, 14(1): 233-262.

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.

• 出版日期2015