| Title:
|
Transformation of divergence theorem in dynamical fields (English) |
| Author:
|
Karavashkin, Sergey B. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
233-243 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
theoretical physics |
| Keyword:
|
mathematical physics |
| Keyword:
|
wave physics |
| Keyword:
|
vector algebra |
| MSC:
|
76A02 |
| MSC:
|
78A02 |
| MSC:
|
78A25 |
| idZBL:
|
Zbl 1090.76004 |
| idMR:
|
MR1860185 |
| . |
| Date available:
|
2008-06-06T22:28:57Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107800 |
| . |
| Reference:
|
[1] Ignazius G. I.: The field theory (mathematical analysis of multivariable functions).Znanie, Moscow, 1971, 112 pp. (Russian). |
| Reference:
|
[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). |
| Reference:
|
[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). Zbl 0187.00101, MR 0220560 |
| Reference:
|
[4] Landau L. D., Lifshitz E. M.: Theoretical physics, vol.II. The field theory.Nauka, Moscow, 1973, 504 pp. (Russian). |
| Reference:
|
[5] Sedov L. I.: Mechanics of continuum, vol. 1.Nauka, Moscow, 1973, 536 pp. (Russian). |
| Reference:
|
[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). MR 0086594 |
| Reference:
|
[7] Levitch V. G.: The course of theoretical physics, vol. 1.The State publishing of physical and mathematical literature, Moscow, 1962, 695 pp. (Russian). |
| Reference:
|
[8] Eichenwald A. A.: Selected works.The State publishing of technical and theoretical literature, Moscow, 1956, 266 pp. (Russian). |
| Reference:
|
[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). |
| Reference:
|
[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). |
| Reference:
|
[11] Kugushev A. M., Golubeva N. S.: The foundations of radiolectronics. The linear electromagnetic processes.Energia, Moscow, 1969, 880 pp. (Russian). |
| . |
