Transformation of divergence theorem in dynamical fields. (English) Zbl 1090.76004

Karavashkin, Sergey B.

Arch. Math., Brno 37, No. 3, 233-243 (2001).

Summary: In this paper we will study the flux and the divergence of vector in dynamical fields, on the basis of conventional divergence definition and using the conventional method to find the vector flux. We will reveal that vector flux and divergence of vector do not vanish in dynamical fields. In terms of conventional EM field formalism, we will show the changes appearing in dynamical fields.

MSC:

76A02	Foundations of fluid mechanics
78A02	Foundations in optics and electromagnetic theory
78A25	Electromagnetic theory (general)

Keywords:

theoretical physics; mathematical physics; wave physics; vector algebra