TRR 181 Seminar "On algebraic aspects of fluid dynamics based on Nambu mechanics"

The TRR 181 seminar is held every other week in the semester and as announced during semester break. The locations of the seminar changes between the three TRR181 locations, but is broadcastet online for all members of the TRR.

The TRR 181 seminar is held by Annette Müller (Freie Universität Berlin) on May 2, 11 am at Universität Hamburg, Grindelberg 5, room 008.


The Nambu formulation for two-and three-dimensional fluid dynamics provides a comprised, algebraic description of the structure of vortex dynamics.  Nambu mechanics can be seen as a generalization of Hamilton's formulation. The equations of motion are represented in terms of two constitutive conserved quantities: the energy and a vortex-related quantity (helicity (3D), enstrophy (2D)).

By formulating the Helmholtz vorticity equation in terms of Nambu mechanics, a vortex Lie algebra, respectively vortex Lie group of incompressible, inviscid fluids can be found an analyzed. In this way, incompressible, inviscid vortex dynamics can be regarded from a different perspective. A novel matrix representation of the so-called Vortex-Heisenberg Lie algebra, respectively Vortex-Heisenberg Lie group, for two-and three-dimensional vortex dynamics is represented. As an example of the applicability of the corresponding Vortex-Heisenberg Lie group to atmospheric phenomena the onset of splitting storms is analyzed.