Probing Non-Integer Dimensions
نویسنده
چکیده
Suppose that the velocity field is inversely proportional to the radial distance, v = Q 2πr . Such a divergenceless field is natural in two dimensions and is generated by a point sink (or source) of strength Q in an incompressible fluid. This flow field has the remarkable property that the convection term can be absorbed into the diffusion operator by an appropriate shift of the spatial dimension. Indeed, the density satisfies
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