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Statistical mechanics of Beltrami flows in axisymmetric geometry: Theory reexamined
Aurore Naso, Romain Monchaux, Pierre-Henri Chavanis +1
A simplified thermodynamic approach of the incompressible axisymmetric Euler equations is considered based on the conservation of helicity, angular momentum and microscopic energy.…
Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states
A. Naso, P. H. Chavanis, B. Dubrulle
A simplified thermodynamic approach of the incompressible 2D Euler equation is considered based on the conservation of energy, circulation and microscopic enstrophy. Statistical eq…
Relaxation equations for two-dimensional turbulent flows with a prior vorticity distribution
P. H. Chavanis, A. Naso, B. Dubrulle
Using a Maximum Entropy Production Principle (MEPP), we derive a new type of relaxation equations for two-dimensional turbulent flows in the case where a prior vorticity distributi…
Statistical mechanics of 2D turbulence with a prior vorticity distribution
Pierre-Henri Chavanis
We adapt the formalism of the statistical theory of 2D turbulence in the case where the Casimir constraints are replaced by the specification of a prior vorticity distribution. A p…