discontinuous lagrangians
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Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1662
Author(s):  
Marcel Mellmann ◽  
Markus Scholle

By rigorous analysis, it is proven that from discontinuous Lagrangians, which are invariant with respect to the Galilean group, Rankine–Hugoniot conditions for propagating discontinuities can be derived via a straight forward procedure that can be considered an extension of Noether’s theorem. The use of this general procedure is demonstrated in particular for a Lagrangian for viscous flow, reproducing the well known Rankine–Hugoniot conditions for shock waves.





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