Existence of stationary turbulent flows with variable positive vortex intensity
Francesca De Marchis, Tonia Ricciardi · Nonlinear Analysis Real World Applications · 2017
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).