Far East Journal of Dynamical Systems
Volume 10, Issue 1, Pages 93 - 106
(February 2008)
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EULER’S FLUIDS AND NON-DIFFERENTIABLE SPACE-TIME
M. Agop (Romania), Liliana Chicos (Romania), P. Nica (Romania) and Anca Harabagiu (Romania)
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of the non-differentiable
space-time, the generalized Schrödinger type equation as an irrotational
movement of Euler’s type fluids is obtained. The wave-function simultaneously
becomes the complex speed potential and the compatibility condition between the
hydrodynamic model and the wave mechanics model implies a fractal Josephson type
effect. This approach is one of the rare cases in which non-differentiability is
given implicitly, not explicitly.