Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in Ḣ32

Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in Ḣ32

We improve previous known lower bounds for Sobolev norms of potential blow-up solutions to the three-dimensional Navier-Stokes equations in Ḣ3/2.

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Veröffentlicht in:Journal of mathematical physics 2016-02, Vol.57 (2)
Hauptverfasser: Cheskidov, Alexey, Zaya, Karen
Format: Artikel
Sprache:eng
Schlagworte:
Fluid dynamics
Fluid flow
Lower bounds
Mathematical analysis
Navier-Stokes equations
Norms
Physics
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Beschreibung
Zusammenfassung:We improve previous known lower bounds for Sobolev norms of potential blow-up solutions to the three-dimensional Navier-Stokes equations in Ḣ3/2.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4941035