Quasilinear theory of the 2D Euler equation

Details Quasilinear theory of the 2D Euler equation Quasilinear theory of the 2D Euler equation

1999-11-12

arxiv.org/abs/physics/9911024v2

Phys. Rev. Lett. 84, 5512-5515 (2000)

Physics

Fluid Dynamics

4 pages

Scientific paper

10.1103/PhysRevLett.84.5512

We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel. We show under which hypothesis we can derive a H-theorem for the Fermi-Dirac entropy and make the connection with statistical theories of 2D turbulence.

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