欧拉理想流体的场论
Field Theory of the Eulerian Perfect Fluid
摘要：
欧拉理想流体理论是从它的作用原理以纯场论的方式重新表述的。对流守恒不再受林的约束，而是作为理论的中心思想。我们的配方，第一次，成功地减少了多余的自由度，促进一半的Clebsch变量作为真正的动态领域。这些场的相互作用使得对流能够交换质量和电荷等量，这被一致地理解为无力流体的基本对称性的破坏。Clebsch场在与产生涡量的力场交换角动量中起着至关重要的作用。
英文摘要：
The Eulerian perfect-fluid theory is reformulated from its action principle in a pure field-theoretic manner. Conservation of the convective current is no longer imposed by Lin's constraints, but rather adopted as the central idea of the theory. Our formulation, for the first time, successfully reduces redundant degrees of freedom promoting one half of the Clebsch variables as the true dynamical fields. Interactions on these fields allow for the exchange of the convective current of quantities such as mass and charge, which are uniformly understood as the breaking of the underlying symmetry of the force-free fluid. The Clebsch fields play the essential role in the exchange of angular momentum with the force field producing vorticity.
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