Noether theorem in fluid mechanics

Abstract

Invariance theorems in analytical mechanics, such as Noether's theorem, can be adapted to continuum mechanics. For this purpose, it is useful to give a functional representation of the motion and to interpret the groups of invariance with respect to the space of reference associated with Lagrangian variables. A convenient method of calculus uses the Lie derivative. For instance, Kelvin theorems can be obtained by such a method.

Cited by in corpus (5)

• Variational Theory of Mixtures in Continuum Mechanics
• Hyperbolic Models of Homogeneous Two-Fluid Mixtures
• Mixture of Fluids involving Entropy Gradients and Acceleration Waves in Interfacial Layers
• Remarks on the Lie derivative in fluid mechanics
• Symmetric forms for hyperbolic-parabolic systems of multi-gradient fluids