Surface Motions and Fluid Dynamics

Details Surface Motions and Fluid Dynamics Surface Motions and Fluid Dynamics

1994-05-02

arxiv.org/abs/hep-th/9405001v2

Phys.Lett. B335 (1994) 41-44

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Plain TeX, YITP/K-1069 unreadable character codes are corrected

Scientific paper

10.1016/0370-2693(94)91555-5

A certain class of surface motions, including those of a relativistic membrane minimizing the 3-dimensional volume swept out in Minkowski-space, is shown to be equivalent to 3-dimensional steady-state irrotational inviscid isentropic gas-dynamics. The SU($\infty $) Nahm equations turn out to correspond to motions where the time $t$ at which the surface moves through the point $\ssatop\rhup{r}$ is a harmonic function of the three space-coordinates. This solution also implies the linearisation of a non-trivial-looking scalar field theory.

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