Discretely Self-Similar Solutions to the Navier–Stokes Equations with Besov Space Data

Discretely Self-Similar Solutions to the Navier–Stokes Equations with Besov Space Data

We construct self-similar solutions to the three dimensional Navier–Stokes equations for divergence free, self-similar initial data that can be large in the critical Besov space B ˙ p , ∞ 3 / p - 1 where 3 

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Veröffentlicht in:Archive for rational mechanics and analysis 2018-07, Vol.229 (1), p.53-77
Hauptverfasser: Bradshaw, Zachary, Tsai, Tai-Peng
Format: Artikel
Sprache:eng
Schlagworte:
Classical Mechanics
Complex Systems
Fluid- and Aerodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We construct self-similar solutions to the three dimensional Navier–Stokes equations for divergence free, self-similar initial data that can be large in the critical Besov space B ˙ p , ∞ 3 / p - 1 where 3 
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-017-1213-1