A mathematical model for intermittency
نویسنده
چکیده
2014 The possibility that a perfect fluid might carry a random velocity field concentrated on a surface, with a finite kinetic energy, is considered. This leads mathematically to a velocity behaving as the square root of a delta function. Despite their exotic character, such mathematical objects make sense when inserted into the Euler equation. However, it is found that such surfaces are unstable. Their replacement by a fractal with dimension larger than two could make sense however, as was proposed by B. Mandelbrot. J. Physique 46 (1985) 1319-1323 Ao8T 1985, Classification Physics Abstracts 47.30 47.25C
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