GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D NAVIER-STOKES EQUATIONS

abstract

• 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.

authors

• Titi, Edriss

published proceedings

• COMMUNICATIONS IN MATHEMATICAL PHYSICS

author list (cited authors)

• PONCE, G., RACKE, R., SIDERIS, T. C., & TITI, E. S.

citation count

• 82

complete list of authors

• PONCE, G||RACKE, R||SIDERIS, TC||TITI, ES

publication date

• January 1994

publisher

• Springer Nature  Publisher

published in

• Communications in Mathematical Physics  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1007/BF02102642

start page

• 329

end page

• 341

volume

• 159

issue

• 2

URL

• http://dx.doi.org/10.1007/bf02102642