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Marchuk Nikolay Gur'evich
(full list of publications)
| by years | scientific publications | by types |



   2018
1. N. G. Marchuk, Uravneniya teorii polya i algebry Klifforda, Izd. 2-e, rassh. i dop., LENAND, M., 2018 , 344 pp. http://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Book&id=226125

   2016
2. N.G. Marchuk, D.S. Shirokov, “General solutions of one class of field equations”, Rep. Math. Phys., 78:3 (2016), 305–326 , arXiv: 1406.6665  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
3. N. G. Marchuk, D. S. Shirokov, “Constant solutions of Yang-Mills equations and generalized Proca equations”, J. Geom. Symmetry Phys., 42 (2016), 53–72 , arXiv: 1611.03070  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)

   2015
4. N. G. Marchuk, “Demonstration Representation and Tensor Products of Clifford Algebras”, Proc. Steklov Inst. Math., 290 (2015), 143–154  mathnet  crossref  crossref  isi (cited: 2)  elib  elib  scopus (cited: 1)
5. N. G. Marchuk, “Yadernyi reaktor s zhidkometallicheskim teplonositelem dlya podvodnykh lodok”, O rabotakh G. I. Marchuka po raschetam yadernykh reaktorov, Nash Marchuk, Kniga “Nash Marchuk” - eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi., ISBN 978-5-7692-1444-8, eds. V.P.Ilin, A.K.Lavrova, A.G.Marchuk, N.A.Pritvits, Ya.I.Fet., Izd-vo SO RAN, Novosibirsk, 2015, 183-187 http://sibran.ru/catalog/FM/165098/
6. N. G. Marchuk, “O moem ottse”, Nash Marchuk, Kniga “Nash Marchuk” – eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi, ISBN 978-5-7692-1444-8, eds. V. P. Ilin, A. K. Lavrova, A. G. Marchuk, N. A. Pritvits, Ya. I. Fet, Izd-vo SO RAN, Novosibirsk, 2015, 176-182 , 428 pp. http://sibran.ru/catalog/FM/165098/

   2014
7. N. Marchuk, “Nonlinear generalization of the Dirac equation”, Theoretical Physics and its Applications, Selected contributions at the 3rd International Conference on Theoretical Physics (Moscow, June 24–28, 2013), eds. T. F. Kamalov, MIPT, M., 2014, 180–182 , arXiv: 1307.6452
8. N. G. Marchuk, “On a field equation generating a new class of particular solutions to the Yang–Mills equations”, Proc. Steklov Inst. Math., 285 (2014), 197–210  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2013
9. N. Marchuk, “Tensor products of Clifford algebras”, Dokl. Math., 87:2 (2013), 185–188  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2012
10. N. Marchuk, Field theory equations, Amazon, CreateSpace, 2012 , 290 pp.
11. N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.
12. N. Marchuk, “Generalized exterior algebras”, Ukr. J. Phys., 57:4 (2012), 422–425 , arXiv: 1103.5313  mathnet  elib  scopus

   2011
13. N. G. Marchuk, “Dirac–Yang–Mills model equations with a spinor gauge symmetry”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 118–123  mathnet  crossref  rsci  elib
14. N. Marchuk, “Parametrisations of elements of spinor and orthogonal groups using exterior exponents”, Adv. Appl. Clifford Algebr., 21:3 (2011), 583–590 , arXiv: 0912.5349  crossref  mathscinet  zmath  isi  elib  scopus
15. N. G. Marchuk, “Exterior polymetric algebras”, Dokl. Math., 83:3 (2011), 400–403  crossref  mathscinet  isi  elib  elib  scopus
16. N. G. Marchuk, “Field theory equations with spinor gauge symmetry”, Dokl. Math., 83:2 (2011), 155–157  crossref  mathscinet  isi  elib  elib  scopus
17. N. Marchuk, “Representations of spinor groups using Grassmann exterior algebra”, From Past to Future: Graßmann's Work in Context, Graßmann Bicentennial Conference (Univ. Potsdam, Potsdam, Germany, September 16–19, 2009), eds. H. J. Petsche, A. C. Lewis, J. Liesen, S. Russ, Birkhäuser, Basel, 2011, 303–309  crossref  isi

   2010
18. N. Marchuk, R. Dyabirov, “A symplectic subgroup of a pseudounitary group as a subset of Clifford algebra”, Adv. Appl. Clifford Algebr., 20:2 (2010), 343–350  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)
19. N. Marchuk, “Mass generation mechanism for spin-(1/2) fermions in Dirac-Yang-Mills model equations with a symplectic gauge symmetry”, Nuovo Cimento Soc. Ital. Fis. B, 125:10 (2010), 1249–1256  crossref  mathscinet (cited: 2)  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
20. N. G. Marchuk, “A semipolynomial parameterization of fourth-order spinor groups”, Dokl. Math., 82:1 (2010), 543–545  crossref  isi  elib  elib  scopus

   2009
21. N. G. Marchuk, “A tensor Dirac equation in curved space”, Foundations of probability and physics—5, AIP Conf. Proc., 1101, Amer. Inst. Phys., 2009, 328–338  crossref  mathscinet  zmath  adsnasa  isi  scopus
22. N. G. Marchuk, Uravneniya teorii polya i algebry Klifforda, RKhD, Izhevsk, 2009 , 304 pp.

   2008
23. N. G. Marchuk , D. S. Shirokov, “Unitary spaces on Clifford algebras”, Adv. Appl. Clifford Algebr., 18:2 (2008), 237–254  crossref  mathscinet (cited: 2)  zmath  isi (cited: 19)  elib (cited: 21)  scopus (cited: 23)
24. N. G. Marchuk, “Modelnye uravneniya Diraka–Maksvela s psevdounitarnoi simmetriei”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 128
25. N. G. Marchuk, “Nekotorye sledstviya modelnoi sistemy uravnenii Diraka–Maksvella”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 45
26. N. G. Marchuk, “Model Dirac–Maxwell equations with pseudounitary symmetry”, Theoret. and Math. Phys., 157:3 (2008), 1723–1732  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
27. N. G. Marchuk, Yu. A. Tsimbalov, “Normalnye matrichnye predstavleniya algebr Klifforda”, Vestnik SamGU - Estestvennonauchnaya seriya, 8:1(67) (2008)

   2006
28. N. G. Marchuk, “New representation of Dirac–Yang–Mills equations”, Russ. J. Math. Phys., 13:4 (2006), 397–413  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
29. N. G. Marchuk, “Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac–Yang–Mills equations”, Russ. J. Math. Phys., 13:3 (2006), 299–314  crossref  mathscinet (cited: 1)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2003
30. N. G. Marchuk, “A coordinate-free form of the Dirac equation for the electron”, Dokl. Math., 68:2 (2003), 281–284  mathnet  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   2002
31. N. G. Marchuk, “A concept of Dirac-type tensor equations”, Nuovo Cimento Soc. Ital. Fis. B (12), 117:12 (2002), 1357–1385  mathscinet (cited: 2)  isi (cited: 5)  elib (cited: 5)  scopus (cited: 5)
32. N. G. Marchuk, “Dirac-type tensor equations on a parallelisable manifold”, Nuovo Cimento Soc. Ital. Fis. B (12), 117:7 (2002), 789–796  mathscinet  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
33. N. G. Marchuk, “The Dirac equation vs. the Dirac-type tensor equation”, Nuovo Cimento Soc. Ital. Fis. B (12), 117:5 (2002), 511–520  mathscinet (cited: 1)  isi (cited: 5)  elib (cited: 8)  scopus (cited: 6)
34. N. G. Marchuk, “Dirac-type tensor equations with non-abelian gauge symmetries on pseudo-Riemannian space”, Nuovo Cimento Soc. Ital. Fis. B (12), 117:1 (2002), 95–119  mathscinet (cited: 1)  adsnasa  isi (cited: 8)  elib (cited: 9)  scopus (cited: 8)
35. N. G. Marchuk, “Addendum to the paper: Dirac-type tensor equations with non-abelian gauge symmetries on pseudo-Riemannian space”, Nuovo Cimento Soc. Ital. Fis. B (12), 117:5 (2002), 613–614  mathscinet (cited: 1)  adsnasa  isi (cited: 4)  scopus (cited: 3)

   2001
36. N. G. Marchuk, “Dirac-type tensor equations”, Nuovo Cimento Soc. Ital. Fis. B (12), 116:11 (2001), 1225–1248  mathscinet (cited: 2)  isi (cited: 9)  elib (cited: 11)  scopus (cited: 11)
37. N. Marchuk, “The Dirac type tensor equation in Riemannian space”, Clifford analysis and its applications (Prague, 2000), NATO Sci. Ser. II Math. Phys. Chem., 25, Kluwer Acad. Publ., Dordrecht, 2001, 223–230  mathscinet (cited: 1)  zmath  isi

   2000
38. N. G. Marchuk, “Dirac equation in Riemannian space without tetrads”, Nuovo Cimento Soc. Ital. Fis. B (12), 115:11 (2000), 1267–1301  mathscinet (cited: 2)  isi (cited: 7)  elib (cited: 7)  scopus (cited: 7)
39. N. G. Marchuk, Model equation for a description of local interaction of a fermion with electromagnetic and gravitational fields, Preprint UTMS 2000-15, February 21, 2000, University of Tokyo, University of Tokyo, Graduate School of Mathematical Sciences, Komaba, Tokyo, Japan, 2000 , 47 pp.

   1998
40. N. G. Marchuk, “Gauge fields of the matrix Dirac equation”, Nuovo Cimento Soc. Ital. Fis. B (12), 113:10 (1998), 1287–1295  mathscinet (cited: 2)  adsnasa  isi (cited: 2)  elib (cited: 4)  scopus (cited: 3)
41. N. G. Marchuk, “Dirac $\gamma$-equation, classical gauge fields and Clifford algebra”, Adv. Appl. Clifford Algebras, 8:1 (1998), 181–225  crossref  mathscinet (cited: 4)  zmath

   1997
42. N. G. Marchuk, “The matrix Dirac equation”, Dokl. Math., 55:3 (1997), 453–455  mathnet  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)

   1995
43. N. G. Marchuk, “A model of compound structure of quarks, leptons, and the quanta of interaction between them”, Dokl. Math., 52:2 (1995), 275–277  zmath  isi

   1994
44. N. Marchuk, A new representation of the Dirac equation using even and odd gamma-matrices, Preprint CTS of IISc/94/1, Indian Institute of Science, Centre for High Energy Physics, Bangalore, India, 1994 , 7 pp.

   1993
45. N. Marchuk, New form of Dirac equation, IMSc/93/7, The Institute of Mathematical Sciences (IMSc), Madras, India, 1993 , 6 pp.

   1992
46. A. A. Dezin, N. G. Marchuk, “Perturbation of periodicity conditions in the simplest nonlinear model”, Russian Acad. Sci. Dokl. Math., 45:2 (1992), 467–469 (1993)  mathnet  mathscinet  zmath  isi

   1988
47. N. G. Marchuk, “Symmetric hyperbolic systems of second order equations”, Soviet Math. Dokl., 37:1 (1988), 207–212  mathnet  mathscinet  zmath  isi

   1987
48. N. G. Marchuk, “A mixed problem for the vector wave equation”, Sov. Math. Dokl., 35 (1987), 230–232  mathnet  mathscinet  zmath  isi

   1986
49. N. G. Marchuk, “O korrektnosti nachalno-kraevoi zadachi dlya volnovogo uravneniya s granichnym usloviem vtorogo poryadka”, Sib. matem. zhurn., 27:6 (1986), 140–143  mathscinet  zmath  isi
50. N. G. Marchuk, “Giperbolicheski simmetrizuemye sistemy uravnenii”, Differents. uravneniya, 22:4 (1986), 652–662  mathnet  mathscinet  zmath  isi
51. N. G. Marchuk, “Spetsialnyi klass formul Grina”, Differents. uravneniya, 22:2 (1986), 315–326  mathnet  mathscinet  zmath
52. V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780  mathnet  crossref  mathscinet  zmath  isi  scopus

   1985
53. N. G. Marchuk, “A large class of Green formulas and conservation laws”, Sov. Math. Dokl., 32 (1985), 892–894  mathnet  mathscinet  zmath  isi

   1984
54. N. G. Marchuk, “On a method of reducing the wave equation to a system of first order equations”, Sov. Math. Dokl., 29 (1984), 685–687  mathnet  mathscinet  zmath  isi
55. N. G. Marchuk, “O korrektnosti postanovki smeshannoi zadachi dlya vektornogo volnovogo uravneniya”, Differents. uravneniya, 20:5 (1984), 838–843  mathnet  mathscinet  zmath  isi
56. N. G. Marchuk, “Svedenie zadachi Koshi dlya volnovogo uravneniya k zadache Koshi dlya sistemy uravnenii pervogo poryadka”, Differents. uravneniya, 20:4 (1984), 653–659  mathnet  mathscinet  zmath  isi

   1982
57. N. G. Marchuk, “Suschestvovanie resheniya smeshannoi zadachi dlya vektornogo giperbolicheskogo uravneniya vtorogo poryadka”, Sib. matem. zhurn., 23:1 (1982), 70–84  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1980
58. N. G. Marchuk, “On the existence of solutions of a mixed problem for the vector wave equation”, Sov. Math. Dokl., 21 (1980), 785–788  mathscinet  zmath  isi

   1979
59. N. Marchuk, Issledovanie korrektnosti linearizovannoi teorii udarnoi volny s pomoschyu integralov energii, Preprint VTs SO AN, № 153, Vychislitelnyi Tsentr Sibirskogo Otdeleniya AN, Novosibirsk, 1979 , 33 pp.
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