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

Authors
PONCE G RACKE R SIDERIS TC TITI ES
Citation
G. Ponce et al., GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D NAVIER-STOKES EQUATIONS, Communications in Mathematical Physics, 159(2), 1994, pp. 329-341
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
159
Issue
2
Year of publication
1994
Pages
329 - 341
Database
ISI
SICI code
0010-3616(1994)159:2<329:GSOLST>2.0.ZU;2-4
Abstract
We prove the stability of mildly decaying global strong solutions to t he Navier-Stokes equations in three space dimensions. Combined with pr evious results on the global existence of large solutions with various symmetries, this gives the first global existence theorem for large s olutions with approximately symmetric initial data. The stability of u nforced 2D flow under 3D perturbations is also obtained.