Аксиоматическое построение системы уравнений классической электродинамики

15 / 16

[12] Makarov A.M., Lunyova L.A., Makarov K.A. Concerning Structure of Simultaneous
Equations of the Classical Electrodynamics. Vestn. Mosk. Gos. Tekh. Univ.
im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ.,
Nat. Sci.], 2014, no. 3, pp. 39–52 (in Russ.).
[13] Mansuripur M. On the Foundational Equations of the Classical Electrodynamics.
Resonance, 2013, no. 2, pp. 130–150.
[14] Ponomarev Yu.I. The Elusion of Maxwell Equations from the State Function. Charge
State Function and Its Connection with the Charge Conservation Law. Uspekhi
sovremennogo estestvoznaniya [Advances in Current Natural Sciences], 2009, no. 1,
pp. 6–9.
[15] Lutfullin M. Symmetry Reduction of Nonlinear Equations of Classical
Electrodynamics. Symmetry in Nonlinear Mathematical Physics, 1997, vol. 1.
[16] Lu Q.Z., Norris S., Su Q., Grobe R. Self-interactions as Predicted by the Dirac –
Maxwell Equations. Phys. Rev. A, 2014, vol. 90, p. 034101.
[17] Etkin V.A. Energodynamic Derivation of Maxwell’s Equations. Dokl. nezavisimykh
avtorov. Ser. Fizika i astronomiya [The Papers of Independent Authors, physics,
astronomy], 2013, iss. 23, pp. 165–174 (in Russ.).
[18] Etkin V.A. Thermodynamic Derivation of Maxwell’s Equations. Available
at: %20vyvod%20uravn%
20Maxvela.pdf (accessed 15.05.2015).
[19] Planck Max. Introduction to Theoretical Physics: Theory of electricity and
magnetism, vol. 3. Macmillan, 1932. 247 p. (Russ. ed.: Plank M. Vvedenie v
teoreticheskuyu fiziku. Teoriya elektrichestva i magnetizma. Moscow, URSS Publ.,
2004. 184 p.).
[20] Sindelka M. Derivation of Coupled Maxwell – Schredinger Equations Describe
Matter-laser Interaction from First Principles of Quantum Electrodynamics. Phys.
Rev. A, 2010, vol. 81, p. 033833.
[21] Vorontsov A.S., Kozlov V.I., Markov M.B. On the Maxwell’s equations in the
self-time. Preprint, Inst. Appl. Math., Russian Academy of Science. Available at:
(accessed 05.05.2015).
[22] Kulyabov D.S., Korolkova A.V., Sevastyanov L.A. The Simplest Geometrization
of Maxwell’s Equations. Vestn. RUDN. Ser. Matematika, informatika, fizika, 2014,
no. 2, pp. 115–172 (in Russ.).
[23] Darrigol O. James MacCullagh‘s Ether: an Optical route to Maxwell Equations? Eur.
Phys. J. H., 2010, vol. 35, pp. 133–172. DOI: 10.1140/epjh/e2010-00009-3
[24] Kusnetsov I.V., Zotov K.H. Improving Accuracy of Positioning Mobile Station
based on the Calculation of Static Parameters Electromagnetic Field with Maxwell’s
Equations. Electrical and Data Processing Facilities System, 2013, vol. 9, no. 1,
pp. 89–92.
[25] Galev R.V., Kovalev O.B. About the Use Maxwell Equations in Numerical
Simulation of Interaction of Laser Radiation with Materials. Vestnik NGU. Ser. Fizika
[Vestnik of NSU: Physics Series], 2014, vol. 9, pp. 53–64 (in Russ.).
[26] Alekseev G.V., Brizitskiy R.V. Theoretical analysis of boundary control extremal
problems for Maxwell’s equations. Sib. Zh. Ind. Mat., 2011, vol. 14, no. 1 (45),
pp. 3–16 (in Russ.).
[27] Barbas A., Velarde P. Development of a Godunov Method for Maxwell’s Equations
with Adaptive Mesh Refinement. Journal of Computational Physics, 2015, vol. 300,
pp. 188–201. DOI: 10.1016/j.jcp.2015.07.048
[28] Markel V., Schotland J.C. Homogenization of Maxwell’s Equations
in Periodic Composites: Boundary Effects and Dispersion Relation.
Phys. Rev. E, 2012, vol. 85, pp. 066603-1–066603-23. Available at:
DOI: 10.1103/PhysRevE.85.066603
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2016. № 1 59