Symmetries and Lagrangian time-discretizations of Euler equations

Details Symmetries and Lagrangian time-discretizations of Euler equations Symmetries and Lagrangian time-discretizations of Euler equations

2004-07-15

arxiv.org/abs/math-ph/0407029v1

CRM Proc. Lecture Notes, 37 (2004), 145--153.

Physics

Mathematical Physics

Talk given at the Workshop on Superintegrability in Classical and Quantum Systems (Montreal, 2002)

Scientific paper

In the late 80s - early 90s J. Moser and A. P. Veselov considered Lagrangian discrete systems on Lie groups with additional symmetry conditions imposed on Lagrangians. They observed that such systems are often integrable time-discretizations of integrable Euler equations on these Lie groups. In recent papers we studied Lagrangian discrete systems with additional symmetry requirements on certain infinite-dimensional Lie groups. We will discuss some interesting properties of these systems.

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