Authors: M Agop O Niculescu A Timofte L Bibire A S Ghenadi A Nicuta C Nejneru G V Munceleanu
Publish Date: 2010/04/09
Volume: 49, Issue: 7, Pages: 1489-1506
Abstract
Considering that the motions of the particles take place on fractals a nondifferentiable mechanical model is built Only if the spatial coordinates are fractal functions the Galilean version of our model is obtained the geodesics satisfy a NavierStokestype of equation with an imaginary viscosity coefficient for a complex speed field or respectively a Schrödingertype of equation or hydrodynamic equations in the case of irrotational movements Moreover in this approach the analysis of the fractal fluid dynamics generates conductive properties in the case of movements synchronization both on differentiable and fractal scales and convective properties in the absence of synchronization eg laser ablation plasma is analyzed On the other hand if both the spatial and temporal coordinates are fractal functions it results that the geodesics satisfy a KleinGordontype of equation on a Minkowskian manifold
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