01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
04.03.1951
E-mail:
, ,
Keywords:
symplectic stuctures; potential stuctures; transformation groups; Lorentz equations; first integrals; conservation laws; Einstein–Maxwell spaces; electromagnetic fields; group classification.
Subject:
Maxwell spaces.
Main publications:
Parinov M. A., Zaitsev G. A. Simmetrii v klassicheskoi teorii elektromagnitnogo polya // Teoretiko-gruppovye metody v fizike. T. 1. Trudy mezhdunarodnogo seminara. - M.: Nauka, 1980. - S. 211–217.
Parinov M. A. O gruppakh diffeomorfizmov, sokhranyayuschikh nevyrozhdennye analiticheskie kovektornye polya // Matem. sb. - T. 126, # 5. - 1995. - S. 115–126.
Ivanova A. S., Parinov M. A. Pervye integraly uravnenii Lorentsa dlya nekotorykh klassov elektromagnitnykh polei // Trudy MIRAN im. V. A. Steklova. - T. 236. - 2002. - S. 197–203.
Parinov M. A. Prostranstva Einshteina–Maksvella i uravneniya Lorentsa: Nauch. izdanie. - Ivanovo: Izd-vo IvGU, 2003. - 180 s.
Parinov M. A. Klassy prostranstv Maksvella, dopuskayuschikh podgruppy gruppy Puankare // Fundamentalnaya i prikladnaya matematika. - 2004. - T. 10, # 1. - S. 183–237.
Parinov M. A. Klassifikatsiya potentsialnykh struktur na prostranstve Minkovskogo po podgruppam gruppy Puankare // Fundamentalnaya i prikladnaya matematika. - 2006. - T. 12, # 7. - S. 177–225.
Parinov M. A. Shest klassov prostranstv Maksvella, dopuskayuschikh netrivialnye gruppy simmetrii // Vestnik VGU. Seriya: Fizika. Matematika. - 2006. - # 1. - S. 174–175.
E. S. Erina, M. A. Parinov, “Noetherian Maxwell spaces and Bessel-Hagen factors”, Trudy Mat. Inst. Steklova, 278 (2012), 68–74; Proc. Steklov Inst. Math., 278 (2012), 60–66
2009
2.
M. A. Parinov, “Wave solutions admitting elliptic helices to Maxwell equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 4, 77–81; Russian Math. (Iz. VUZ), 53:4 (2009), 62–66
2006
3.
M. A. Parinov, “Classification of potential structures on the Minkowski space with respect to subgroups of the Poincaré group”, Fundam. Prikl. Mat., 12:7 (2006), 177–225; J. Math. Sci., 151:4 (2008), 3192–3226
A. S. Ivanova, M. A. Parinov, “Some classes of electromagnetic waves that admit parabolic helices”, Fundam. Prikl. Mat., 12:7 (2006), 79–92; J. Math. Sci., 151:4 (2008), 3123–3132
M. A. Parinov, “Classes of Maxwell spaces that admit subgroups of the Poincaré group”, Fundam. Prikl. Mat., 10:1 (2004), 183–237; J. Math. Sci., 136:6 (2006), 4419–4458
A. S. Ivanova, M. A. Parinov, “First Integrals of Lorentz Equations for Certain Classes of Electromagnetic Fields”, Trudy Mat. Inst. Steklova, 236 (2002), 197–203; Proc. Steklov Inst. Math., 236 (2002), 186–192
M. A. Parinov, “On groups of diffeomorphisms preserving non-degenerate analytic covector fields”, Mat. Sb., 186:5 (1995), 115–126; Sb. Math., 186:5 (1995), 741–751
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