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20032008
most citedOn the global wellposedness of the 3-D Navier-Stokes equations with large initial data

63 citations · 66 across the 4 of their papers we have counts for

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math.AP2008

Global regularity for some classes of large solutions to the Navier-Stokes equations

Jean-Yves Chemin, Isabelle Gallagher, Marius Paicu

In three previous papers by the two first authors, classes of initial data to the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smoo…

math.AP2007

Large, global solutions to the Navier-Stokes equations, slowly varying in one direction

Jean-Yves Chemin, Isabelle Gallagher

In to previous papers by the authors, classes of initial data to the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution a…

math.AP2006

Wellposedness and stability results for the Navier-Stokes equations in

Jean-Yves Chemin, Isabelle Gallagher

In a previous work, we presented a class of initial data to the three dimensional, periodic, incompressible Navier-Stokes equations, generating a global smooth solution although th…

math.AP200563 cited

On the global wellposedness of the 3-D Navier-Stokes equations with large initial data

Jean-Yves Chemin, Isabelle Gallagher

We give a condition for the periodic, three dimensional, incompressible Navier-Stokes equations to be globally wellposed. This condition is not a smallness condition on the initial…

math.AP20033 cited

Quasilinear wave equations and microlocal analysis

Hajer Bahouri, Jean-Yves Chemin

In this text, we shall give an outline of some recent results (see \ccite{bahourichemin2} \ccite{bahourichemin3} and \ccite{bahourichemin4}) of local wellposedness for two types of…