Phase transitions in the fractional three-dimensional Navier-Stokes equations

The fractional Navier-Stokes equations on a periodic domain \([0,\,L]^{3}\) differ from their conventional counterpart by the replacement of the \(-\nu\Delta\mathbf{u}\) Laplacian term by \(\nu_{s}A^{s}\mathbf{u}\), where \(A= - \Delta\) is the Stokes operator and \(\nu_{s} = \nu L^{2(s-1)}\) is the...

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Veröffentlicht in:	arXiv.org 2024-02
Hauptverfasser:	Boutros, Daniel W, Gibbon, John D
Format:	Artikel
Sprache:	eng
Schlagworte:	Fluid flow Mathematical analysis Mathematics - Analysis of PDEs Navier-Stokes equations Parameter identification Phase transitions Physics - Chaotic Dynamics Physics - Fluid Dynamics Regularity
Online-Zugang:	Volltext
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