Transformation of divergence theorem in dynamical fields

Sergey B. Karavashkin

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 3, page 233-243
  • ISSN: 0044-8753

Abstract

top
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.

How to cite

top

Karavashkin, Sergey B.. "Transformation of divergence theorem in dynamical fields." Archivum Mathematicum 037.3 (2001): 233-243. <http://eudml.org/doc/248751>.

@article{Karavashkin2001,
abstract = {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.},
author = {Karavashkin, Sergey B.},
journal = {Archivum Mathematicum},
keywords = {theoretical physics; mathematical physics; wave physics; vector algebra; theoretical physics; mathematical physics; wave physics; vector algebra},
language = {eng},
number = {3},
pages = {233-243},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Transformation of divergence theorem in dynamical fields},
url = {http://eudml.org/doc/248751},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Karavashkin, Sergey B.
TI - Transformation of divergence theorem in dynamical fields
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 3
SP - 233
EP - 243
AB - 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.
LA - eng
KW - theoretical physics; mathematical physics; wave physics; vector algebra; theoretical physics; mathematical physics; wave physics; vector algebra
UR - http://eudml.org/doc/248751
ER -

References

top
  1. Ignazius G. I., The field theory (mathematical analysis of multivariable functions), Znanie, Moscow, 1971, 112 pp. (Russian). (1971) 
  2. Rossel J., General physics, Mir, Moscow, 1964, 506 pp. (Russian; from edition: Physique generale, Par Jean Rossel. Editions du Griffon - Neuchatel diffusion dunod - Paris; edited in Suisse, 1960). (1964) 
  3. Korn G. A., Korn T. M., Mathematical handbook for scientists and engineers, Nauka, Moscow, 1968, pp.720 (Russian; from edition by McGraw-Hill Book Company, Inc., New York - Toronto - London, 1961). (1968) Zbl0187.00101MR0220560
  4. Landau L. D., Lifshitz E. M., Theoretical physics, vol.II. The field theory, Nauka, Moscow, 1973, 504 pp. (Russian). (1973) 
  5. Sedov L. I., Mechanics of continuum, vol. 1, Nauka, Moscow, 1973, 536 pp. (Russian). (1973) 
  6. Alpert, Ya. L., Ginzburg V. L., Feinberg E. L., The radio waves propagation, The State publishing of technical and theoretical literature, Moscow, 1953, 863 pp. (Russian). (1953) MR0086594
  7. Levitch V. G., The course of theoretical physics, vol. 1, The State publishing of physical and mathematical literature, Moscow, 1962, 695 pp. (Russian). (1962) 
  8. Eichenwald A. A., Selected works, The State publishing of technical and theoretical literature, Moscow, 1956, 266 pp. (Russian). (1956) 
  9. Purcell E. M., Electricity and magnetism. Berkeley physics course, vol. 2, Nauka, Moscow, 1971, 447 pp. (Russian; from edition by McGraw-Hill Book Company). (1971) 
  10. Karavashkin S. B., To the question of longitudinal EM waves. Chapter 1. Taking off the bans, In the book SELF. Transactions, vol. 1, Eney Ltd., Ukraine, 1994, 118 pp. (English). (1994) 
  11. Kugushev A. M., Golubeva N. S., The foundations of radiolectronics. The linear electromagnetic processes, Energia, Moscow, 1969, 880 pp. (Russian). (1969) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.