Existence of stationary turbulent flows with variable positive vortex intensity. (December 2017)

• Record Type: Journal Article
• Authors: De Marchis, F.; Ricciardi, T.
• Is Part Of: Nonlinear analysis. Volume 38(2017)
• Page Start: 222
• Page End: 244
• Publication Date: 2017-12
• Subjects: Mean field equation -- Min–max solutions -- Turbulent Euler flow; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.04.013
• Languages: English
• ISSNs: 1468-1218

Abstract

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).