Global stability of large solutions to the 3D Navier-Stokes equations Academic Article uri icon


  • We prove the stability of mildly decaying global strong solutions to the Navier-Stokes equations in three space dimensions. Combined with previous results on the global existence of large solutions with various symmetries, this gives the first global existence theorem for large solutions with approximately symmetric initial data. The stability of unforced 2D flow under 3D perturbations is also obtained. © 1994 Springer-Verlag.

author list (cited authors)

  • Ponce, G., Racke, R., Sideris, T. C., & Titi, E. S.

citation count

  • 70

publication date

  • January 1994