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 |
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| container_title | Nonlinear analysis: real world applications |
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| creator | De Marchis, F. Ricciardi, T. |
| description | 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). |
| doi_str_mv | 10.1016/j.nonrwa.2017.04.013 |
| format | Article |
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| ispartof | Nonlinear analysis: real world applications, 2017-12, Vol.38, p.222-244 |
| issn | 1468-1218 1878-5719 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Fluid dynamics Mean field equation Min–max solutions Nonlinear equations Temperature Turbulence Turbulent Euler flow Turbulent flow Vortices |
| title | Existence of stationary turbulent flows with variable positive vortex intensity |
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