3 papers
math-ph2026
Notes on Electrostatics in
Vladimir Gol'dshtein, Wolfgang H. Müller, Reuven Segev
A compact formulation of electrostatics is presented. Without using constitutive relations, including the aether relations, an expression for the potential energy of a charged regi…
math-ph2024
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.
math-ph2023
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…