Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities

Li Li, Yanyan Li, Xukai Yan

Research output: Contribution to journalArticlepeer-review

Abstract

All (−1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus north and south poles have been classified in our earlier work as a four dimensional surface with boundary. In this paper, we establish near the no-swirl solution surface existence, non-existence and uniqueness results on (−1)-homogeneous axisymmetric solutions with nonzero swirl which are smooth on the unit sphere minus north and south poles.

Original languageEnglish (US)
Pages (from-to)7163-7211
Number of pages49
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
Issue number12
DOIs
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Existence
  • Homogeneous solutions
  • Isolated singularities
  • Stationary Navier-Stokes equations
  • Uniqueness

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