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États d’équilibre statistique pour l’écoulement bidimensionnel d’un fluide parfait. (Statistical equilibrium states in two-dimensional perfect fluid dynamics). (French) Zbl 0707.76002
Summary: We use Kullback entropy for Young measures to define statistical equilibrium states for a two-dimensional incompressible flow of a perfect fluid. This approach is justified as it gives a concentration property about the equilibrium state in the phase. It gives a statistical understanding of the appearance of coherent structures in two-dimensional turbulence.

MSC:
76A02 Foundations of fluid mechanics
82D15 Statistical mechanical studies of liquids
76Bxx Incompressible inviscid fluids
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