Ana Bela Cruzeiro - Geometric and variational aspects of the Euler and the Navier-Stokes equations

Описание к видео Ana Bela Cruzeiro - Geometric and variational aspects of the Euler and the Navier-Stokes equations

Abstract: We present symmetry reduction for stochastic Lagrangian systems with advected quantities whose configuration space is a Lie group. Such variational principles yield deterministic constrained variational principles for dissipative equations of motion. The general theory is presented for the finite dimensional situation. In infinite dimensions we obtain partial differential equations. We apply this technique to the compressible Navier-Stokes equation, generalizing Arnold’s description of the Euler equation. This is joint work with Xin Chen and Tudor Ratiu.

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