Hydrodynamic Wakes and Minimal Surfaces with Fractal Boundaries

R. M. Kiehn "Hydrodynamic Wakes and Minimal Surfaces with Fractal Boundaries" in J.M. Redondo, O. Metais, (eds) "Mixing in Geophysical Flows" CIMNE Barcelona (1995) p.52

Abstract: The observable features of hydrodynamic wakes can be put into correspondence with those characteristic surfaces of tangential discontinuities upon which the evolutionary equations are not unique. Only the robust minimal surface subset, associated with a harmonic vector field, will be persistent and of minimal dissipation. Surprisingly, those minimal surfaces generated by iterates of complex holomorphic curves in four dimensions are related to fractal sets.


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