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About weak‐strong uniqueness for the 3D incompressible Navier‐Stokes system
Author(s) -
Chemin J.Y.
Publication year - 2011
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20386
Subject(s) - uniqueness , mathematics , compressibility , smoothing , space (punctuation) , flow (mathematics) , stability (learning theory) , mathematical analysis , heat flow , incompressible flow , geometry , thermal , mechanics , physics , thermodynamics , computer science , statistics , machine learning , operating system
This article studies the problem of L 2 stability and weak‐strong uniqueness of solutions of the incompressible Navier‐Stokes on the whole space \input amssym ${\Bbb S}^3$ constructed by Kato's approach in spaces coming from Littlewood‐Paley theory and using the L 1 smoothing effect for the heat flow. © 2011 Wiley Periodicals, Inc.
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