Existence of stationary turbulent flows with variable positive vortex intensity

Existence of stationary turbulent flows with variable positive vortex intensity

We prove the existence of stationary turbulent flows with arbitrary positive vortex circulation on non-simply connected domains. Our construction yields solutions for all real values of the inverse temperature with the exception of a quantized set, for which blow-up phenomena may occur. Our results...

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Veröffentlicht in:Nonlinear analysis: real world applications 2017-12, Vol.38, p.222-244
Hauptverfasser: De Marchis, F., Ricciardi, T.
Format: Artikel
Sprache:eng
Schlagworte:
Fluid dynamics
Mean field equation
Min–max solutions
Nonlinear equations
Temperature
Turbulence
Turbulent Euler flow
Turbulent flow
Vortices
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Zusammenfassung:We prove the existence of stationary turbulent flows with arbitrary positive vortex circulation on non-simply connected domains. Our construction yields solutions for all real values of the inverse temperature with the exception of a quantized set, for which blow-up phenomena may occur. Our results complete the analysis initiated in Ricciardi and Zecca (2016).
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2017.04.013