Skip to main content
Article thumbnail
Location of Repository

Solutions to 3-dimensional Navier-Stokes equations for incompressible fluid

By Jorma Jormakka


Abstract. This paper gives an example of a periodic, smooth, divergencefree initial vector field and a periodic and bounded external force such that there exist a smooth solution to the 3-dimensional Navier-Stokes equations for incompressible fluid with those initial conditions but the solution cannot be continued to the whole space. The example also shows that the solutions to the Navier-Stokes equations are not unique

Topics: Key words, Partial differential equations, Navier-Stokes equation, fluid dynamics. Subject Classifications, 35Q30
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.