Equations of fluid dynamics with the ℓ–conformal Galilei symmetry
Anton Galajinsky
Abstract
Equations of fluid dynamics are formulated, which hold invariant under the action of the ℓ–conformal Galilei group. They include the conventional continuity equation, a higher order material derivative analogue of the Euler equation, and a suitable modification of the conventional equation of state. Conserved charges associated with the ℓ–conformal Galilei symmetry transformations are presented.
Topics & Concepts
Conformal mapInvariant (physics)Conformal symmetryEuler equationsAction (physics)Symmetry (geometry)Mathematical physicsPhysicsClassical mechanicsMathematicsMathematical analysisQuantum mechanicsGeometryCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNonlinear Waves and Solitons