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Marchuk Nikolay Gur'evich
(recent publications)
| by years | scientific publications | by types |



   2021
1. N. G. Marchuk, D. S. Shirokov, Teoriya algebr Klifforda i spinorov, Krasand (URSS), Moskva, 2021 , 560 pp. http://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Book&id=263794

   2020
2. N. G. Marchuk, “Model Dirac and Dirac–Hestenes Equations as Covariantly Equipped Systems of Equations”, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunovs Legacy, A liber Amicorum to Professor Godunov, eds. Demidenko, G.V., Romenski, E., Toro, E., Dumbser, M. (Eds.), Springer, 2020, 269–276 https://www.springer.com/gp/book/9783030388690  crossref  scopus; arXiv: 1910.08407
3. Nikolay G. Marchuk, Dmitry S. Shirokov, “Local Generalization of Paulis Theorem”, Azerb. J. Math., 10:1 (2020), 38–56 , arXiv: 1201.4985  mathnet  mathscinet  isi;
4. N. G. Marchuk, D. S. Shirokov, “On some equations modeling the Yang-Mills equations”, Phys. Part. Nucl., 51:4 (2020), 589–594  mathnet  crossref  isi (cited: 1)  elib  scopus (cited: 1)
5. N. G. Marchuk, “One Class of Relativistically Invariant First-Order Equations”, Differ. Equ., 56:12 (2020), 1575–1586  mathnet  crossref  crossref  isi  elib

   2019
6. N. G. Marchuk, “A Generalization of the Yang–Mills Equations”, Proc. Steklov Inst. Math., 306 (2019), 157–177  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 2)

   2018
7. 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
8. N. G. Marchuk, “Classification of extended Clifford algebras”, Russian Math. (Iz. VUZ), 62:11 (2018), 23–27 , arXiv: 1611.07684  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2016
9. 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  mathscinet  isi (cited: 13)  elib  scopus (cited: 13)
10. 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  mathscinet  isi (cited: 6)  elib  scopus (cited: 6)

   2015
11. N. G. Marchuk, “Demonstration Representation and Tensor Products of Clifford Algebras”, Proc. Steklov Inst. Math., 290 (2015), 143–154  mathnet  crossref  crossref  isi (cited: 9)  elib  elib  scopus (cited: 4)
12. 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/
13. 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
14. 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
15. 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: 5)  elib  elib  scopus (cited: 4)

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

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

   2011
20. 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
21. 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 (cited: 1)  elib  scopus (cited: 1)
22. N. G. Marchuk, “Exterior polymetric algebras”, Dokl. Math., 83:3 (2011), 400–403  crossref  mathscinet  zmath  isi  elib  elib  scopus
23. N. G. Marchuk, “Field theory equations with spinor gauge symmetry”, Dokl. Math., 83:2 (2011), 155–157  crossref  mathscinet  zmath  isi  elib  elib  scopus
24. 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  zmath  isi
25. N .G. Marchuk, Modelnye uravneniya teorii polya s unitarnoi i psevdounitarnoi kalibrovochnoi simmetriei, Diss. doktora fiz.-mat. nauk, Matematicheskii Institut im. V. A. Steklova RAN, Moskva, 2011 , 252 pp.

   2010
26. 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 , arXiv: arXiv:0810.3293  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 2)  scopus (cited: 3)
27. 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 , arXiv: arXiv:1009.3701  crossref  mathscinet  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
28. N. G. Marchuk, “A semipolynomial parameterization of fourth-order spinor groups”, Dokl. Math., 82:1 (2010), 543–545  crossref  zmath  isi  elib  elib  scopus


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