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


Articles


   2016
1. 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: 1)  scopus (cited: 2)
2. N. G. Marchuk, D. S. Shirokov, “Constant solutions of Yang-Mills equations and generalized Proca equations”, 42, 2016, 53–72, arXiv: 1611.03070  mathnet  crossref  scopus (cited: 1)

   2015
3. 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)
4. 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/
5. 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
6. 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

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

   2012
8. N. Marchuk, “Generalized exterior algebras”, Ukr. J. Phys., 57:4 (2012), 422–425 , arXiv: 1103.5313  mathnet  elib  scopus

   2011
9. 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
10. 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
11. N. G. Marchuk, “Exterior polymetric algebras”, Dokl. Math., 83:3 (2011), 400–403  crossref  mathscinet  isi  elib  elib  scopus
12. N. G. Marchuk, “Field theory equations with spinor gauge symmetry”, Dokl. Math., 83:2 (2011), 155–157  crossref  mathscinet  isi  elib  elib  scopus
13. 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
14. 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)
15. 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)
16. N. G. Marchuk, “A semipolynomial parameterization of fourth-order spinor groups”, Dokl. Math., 82:1 (2010), 543–545  crossref  isi  elib  elib  scopus

   2009
17. 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

   2008
18. 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: 18)  elib (cited: 21)  scopus (cited: 22)
19. 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)
20. N. G. Marchuk, Yu. A. Tsimbalov, “Normalnye matrichnye predstavleniya algebr Klifforda”, Vestnik SamGU - Estestvennonauchnaya seriya, 8:1(67) (2008)

   2006
21. 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)
22. 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
23. 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
24. 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)
25. 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)
26. 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)
27. 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)
28. 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
29. 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)
30. 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
31. 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)

   1998
32. 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)
33. 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
34. 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
35. 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

   1992
36. 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
37. N. G. Marchuk, “Symmetric hyperbolic systems of second order equations”, Soviet Math. Dokl., 37:1 (1988), 207–212  mathnet  mathscinet  zmath  isi

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

   1986
39. 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
40. N. G. Marchuk, “Giperbolicheski simmetrizuemye sistemy uravnenii”, Differents. uravneniya, 22:4 (1986), 652–662  mathnet  mathscinet  zmath  isi
41. N. G. Marchuk, “Spetsialnyi klass formul Grina”, Differents. uravneniya, 22:2 (1986), 315–326  mathnet  mathscinet  zmath
42. 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
43. N. G. Marchuk, “A large class of Green formulas and conservation laws”, Sov. Math. Dokl., 32 (1985), 892–894  mathnet  mathscinet  zmath  isi

   1984
44. 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
45. N. G. Marchuk, “O korrektnosti postanovki smeshannoi zadachi dlya vektornogo volnovogo uravneniya”, Differents. uravneniya, 20:5 (1984), 838–843  mathnet  mathscinet  zmath  isi
46. 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
47. 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
48. 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

Books


   2012
49. N. Marchuk, Field theory equations, Amazon, CreateSpace, 2012 , 290 pp.
50. N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.

   2009
51. N. G. Marchuk, Uravneniya teorii polya i algebry Klifforda, RKhD, Izhevsk, 2009 , 304 pp.

Proceedings


   2014
52. 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

   2008
53. 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
54. 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

Preprints


   2000
55. 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.

   1994
56. 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
57. N. Marchuk, New form of Dirac equation, IMSc/93/7, The Institute of Mathematical Sciences (IMSc), Madras, India, 1993 , 6 pp.

   1979
58. 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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