Global regularity for some classes of large solutions to the Navier-Stokes equations
Language
en
Article de revue
This item was published in
Annals of Mathematics. 2011, vol. 173, n° 2, p. 983-1012
Princeton University, Department of Mathematics
English Abstract
In previous works by the first two authors, classes of initial data to the three-dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution although the norm of the initial data ...Read more >
In previous works by the first two authors, classes of initial data to the three-dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution although the norm of the initial data may be chosen arbitrarily large. The main feature of the initial data considered in one of those studies is that it varies slowly in one direction, though in some sense it is "well-prepared" (its norm is large but does not depend on the slow parameter). The aim of this article is to generalize that setting to an "ill prepared" situation (the norm blows up as the small parameter goes to zero). As in those works, the proof uses the special structure of the nonlinear term of the equation.Read less <
Origin
Hal imported