4 papers
Notes on Magnetostatic Interactions in
Vladimir Gol'dshtein, Wolfgang H. Müller, Reuven Segev
A compact formulation of magnetostatics is presented. Without using constitutive relations, including the aether relations, an expression is proposed for the potential energy of a…
Electrostatics as a Stress Theory in : Free and Bound Charge, Gauge Invariance, and Mechanical Interactions
Vladimir Gol'dshtein, Wolfgang H. Müller, Reuven Segev
We formulate electrostatics in \rthree as the simplest instance of the theory of stresses: the virtual velocity field of continuum mechanics is simply replaced by a scalar potentia…
On the Evolution During Growth of Regular Boundaries of Bodies into Fractals
Vladimir Goldshtein, Reuven Segev
Generalizing smooth volumetric growth to the singular case, using de Rham currents and flat chains, we demonstrate how regular boundaries of bodies may evolve to fractals.
Notes on Smooth and Singular Volumetric Growth
Vladimir Goldshtein, Reuven Segev
The material structure of bodies undergoing growth is considered. In the geometric framework of a general differential manifold modeling the physical space and a fiber bundle model…