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## Marchuk, Nikolaĭ Gur’evich

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 Author ID: marchuk.nikolaj-gurevich Published as: Marchuk, N. G.; Marchuk, Nikolai; Marchuk, Nikolay; Marchuk, Nikolaĭ Gur’evich External Links: Math-Net.Ru · ORCID
 Documents Indexed: 38 Publications since 1980

#### Co-Authors

 31 single-authored 4 Shirokov, Dmitry S. 1 Dezin, Alekseĭ Alekseevich 1 Dyabirov, Roman 1 Zharinov, Victor Victorovich
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#### Serials

 7 Doklady Mathematics 5 Soviet Mathematics. Doklady 4 Differential Equations 4 Advances in Applied Clifford Algebras 3 Proceedings of the Steklov Institute of Mathematics 2 Siberian Mathematical Journal 2 Russian Journal of Mathematical Physics 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Russian Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Geometry and Symmetry in Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Azerbaijan Journal of Mathematics
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#### Fields

 16 Partial differential equations (35-XX) 15 Quantum theory (81-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Operator theory (47-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

19 Publications have been cited 72 times in 47 Documents Cited by Year
Unitary spaces on Clifford algebras. Zbl 1156.15015
Marchuk, N. G.; Shirokov, D. S.
2008
General solutions of one class of field equations. Zbl 1384.81027
Marchuk, N. G.; Shirokov, D. S.
2016
Dirac $$\gamma$$-equation, classical gauge fields and Clifford algebra. Zbl 0918.15009
Marchuk, N. G.
1998
Demonstration representation and tensor products of Clifford algebras. Zbl 1334.15061
Marchuk, N. G.
2015
Constant solutions of Yang-Mills equations and generalized Proca equations. Zbl 1366.35152
Marchuk, Nikolay; Shirokov, Dmitry
2016
On a field equation generating a new class of particular solutions to the Yang-Mills equations. Zbl 1304.81074
Marchuk, N. G.
2014
On the existence of solutions of a mixed problem for the vector wave equation. Zbl 0488.35050
Marchuk, N. G.
1980
A symplectic subgroup of a pseudounitary group as a subset of Clifford algebra. Zbl 1254.17017
Marchuk, Nikolai; Dyabirov, Roman
2010
Model Dirac-Maxwell equations with pseudounitary symmetry. Zbl 1155.81325
Marchuk, N. G.
2008
Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations. Zbl 1116.53018
Marchuk, N. G.
2006
Reduction of a Cauchy problem for the wave equation of a Cauchy problem for a system of first-order equations. Zbl 0587.35059
Marchuk, N. G.
1984
Classification of extended Clifford algebras. Zbl 1423.15025
Marchuk, N. G.
2018
Parametrisations of elements of spinor and orthogonal groups using exterior exponents. Zbl 1247.15022
Marchuk, Nikolay
2011
New representation of Dirac-Yang-Mills equations. Zbl 1113.81097
Marchuk, N. G.
2006
The Dirac type tensor equation in Riemannian space. Zbl 1094.58500
Marchuk, Nikolai
2001
Green’s formulas and bilinear conservation laws. Zbl 0623.47055
Zharinov, V. V.; Marchuk, N. G.
1986
A large class of Green formulas and conservation laws. Zbl 0602.35018
Marchuk, N. G.
1985
The correctness of the formulation of a mixed problem for the vector wave equation. Zbl 0559.35044
Marchuk, N. G.
1984
Existence of a solution of a mixed problem for a hyperbolic vector equation of second order. Zbl 0599.35097
Marchuk, N. G.
1982
Classification of extended Clifford algebras. Zbl 1423.15025
Marchuk, N. G.
2018
General solutions of one class of field equations. Zbl 1384.81027
Marchuk, N. G.; Shirokov, D. S.
2016
Constant solutions of Yang-Mills equations and generalized Proca equations. Zbl 1366.35152
Marchuk, Nikolay; Shirokov, Dmitry
2016
Demonstration representation and tensor products of Clifford algebras. Zbl 1334.15061
Marchuk, N. G.
2015
On a field equation generating a new class of particular solutions to the Yang-Mills equations. Zbl 1304.81074
Marchuk, N. G.
2014
Parametrisations of elements of spinor and orthogonal groups using exterior exponents. Zbl 1247.15022
Marchuk, Nikolay
2011
A symplectic subgroup of a pseudounitary group as a subset of Clifford algebra. Zbl 1254.17017
Marchuk, Nikolai; Dyabirov, Roman
2010
Unitary spaces on Clifford algebras. Zbl 1156.15015
Marchuk, N. G.; Shirokov, D. S.
2008
Model Dirac-Maxwell equations with pseudounitary symmetry. Zbl 1155.81325
Marchuk, N. G.
2008
Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations. Zbl 1116.53018
Marchuk, N. G.
2006
New representation of Dirac-Yang-Mills equations. Zbl 1113.81097
Marchuk, N. G.
2006
The Dirac type tensor equation in Riemannian space. Zbl 1094.58500
Marchuk, Nikolai
2001
Dirac $$\gamma$$-equation, classical gauge fields and Clifford algebra. Zbl 0918.15009
Marchuk, N. G.
1998
Green’s formulas and bilinear conservation laws. Zbl 0623.47055
Zharinov, V. V.; Marchuk, N. G.
1986
A large class of Green formulas and conservation laws. Zbl 0602.35018
Marchuk, N. G.
1985
Reduction of a Cauchy problem for the wave equation of a Cauchy problem for a system of first-order equations. Zbl 0587.35059
Marchuk, N. G.
1984
The correctness of the formulation of a mixed problem for the vector wave equation. Zbl 0559.35044
Marchuk, N. G.
1984
Existence of a solution of a mixed problem for a hyperbolic vector equation of second order. Zbl 0599.35097
Marchuk, N. G.
1982
On the existence of solutions of a mixed problem for the vector wave equation. Zbl 0488.35050
Marchuk, N. G.
1980
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#### Cited by 41 Authors

 16 Shirokov, Dmitry S. 8 Marchuk, Nikolaĭ Gur’evich 4 Zharinov, Victor Victorovich 3 Chalub, Fabio A. C. C. 2 Volkov, Boris O. 2 Zubelli, Jorge P. 1 Aerts, Diederik Emiel 1 Belykh, Vladimir N. 1 Brushlinskij, K. V. 1 Chuev, V. P. 1 Czachor, Marek 1 De Moor, Bart L. R. 1 Filippov, Vladimir Mikhailovich 1 Ginzberg, Paul 1 Gordienko, Valeriĭ M. 1 Gushchin, Anatoliĭ Konstantinovich 1 Huang, Qiunan 1 Kalyukh, Yu. I. 1 Kiselev, Sergey P. 1 Kraiko, A. N. 1 Kulikovskiĭ, Andreĭ Gennad’evich 1 Kuznetsov, Sergeĭ Petrovich 1 Leopardi, Paul Charles 1 Li, Cuixia 1 Mali, V. I. 1 Malyshev, Alexander N. 1 Mavroyiakoumou, Christiana 1 Mochalov, V. V. 1 Munshi, Sachin 1 Pukhnachov, Vladislav Vasil’evich 1 Romenskii, Evgenii I. 1 Ryaben’kiĭ, Viktor Solomonovich 1 Sattorov, È. N. 1 Savchin, Vladimir Mikhailovich 1 Shorokhov, S. G. 1 Trushechkin, Anton Sergeevich 1 Vaskevich, Vladimir L. 1 Wu, Shiliang 1 Yang, Rongwei 1 Yu, Xuegang 1 Zhang, Shuna
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#### Cited in 23 Serials

 10 Advances in Applied Clifford Algebras 5 Proceedings of the Steklov Institute of Mathematics 4 Theoretical and Mathematical Physics 3 Doklady Mathematics 3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Linear Algebra and its Applications 2 Russian Mathematics 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 1 Linear and Multilinear Algebra 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Anais da Academia Brasileira de Ciências 1 Journal of Mathematical Psychology 1 Siberian Mathematical Journal 1 Physica D 1 Japan Journal of Industrial and Applied Mathematics 1 Sbornik: Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Nonlinear Mathematical Physics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications
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#### Cited in 25 Fields

 22 Linear and multilinear algebra; matrix theory (15-XX) 17 Quantum theory (81-XX) 8 Partial differential equations (35-XX) 6 Mechanics of particles and systems (70-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)