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).
Existence of stationary turbulent flows with variable positive vortex intensity / DE MARCHIS, Francesca; Ricciardi, T.. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - STAMPA. - 38:(2017), pp. 222-244. [10.1016/j.nonrwa.2017.04.013]
Existence of stationary turbulent flows with variable positive vortex intensity
DE MARCHIS, FRANCESCA;
2017
Abstract
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).| File | Dimensione | Formato | |
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