64 citations · 240 across the 12 of their papers we have counts for
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math.AP2010★ 48 cited
A profile decomposition approach to the Navier-Stokes regularity criterion
Isabelle Gallagher, Gabriel S. Koch, Fabrice Planchon
In this paper we continue to develop an alternative viewpoint on recent studies of Navier-Stokes regularity in critical spaces, a program which was started in the recent work by C.…
math.AP2010★ 32 cited
Profile decompositions for critical Lebesgue and Besov space embeddings
Gabriel S. Koch
Profile decompositions for "critical" Sobolev-type embeddings are established, allowing one to regain some compactness despite the non-compact nature of the embeddings. Such decomp…