Existence of stationary turbulent flows with variable positive vortex intensity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence of stationary turbulent flows with variable positive vortex intensity

Affiliation:	1. Dipartimento di Matematica, Università deli Studi di Roma Sapienza, P.le Aldo Moro 5, 00185 Roma, Italy;2. Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy;1. Dpto. de Matemática Aplicada, Universidade de Santiago de Compostela, Campus Sur s/n, 15782 Santiago de Compostela, Spain;2. Dpto. de Estadística e Investigación Operativa, Universidade de Santiago de Compostela, Campus Sur s/n, 15782 Santiago de Compostela, Spain;1. CNRS, Institut Montpelliérain Alexander Grothendieck, Univ. Montpellier, France;2. Department of Mathematics, University of Colorado, Boulder, CO 80305-0395, USA;3. UMR 7586 du CNRS, Institut Mathématique de Jussieu-PRG, Paris, France

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).

Keywords:	Mean field equation Min–max solutions Turbulent Euler flow
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