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- E. Kiktenko2 profiles16 · h 24
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- Moscow Institute of Physics and TechnologyRU43 papers
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11 papers · 1 filter
Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions
V. V. Obukhov, S. V. Chervon, D. V. Kartashov
All non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions . The pot…
Symmetry classification of viscid flows on space curves
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
Symmetries and differential invariants of viscid flows with viscosity depending on temperature on a space curve are given. Their dependence on thermodynamic states of media is stud…
Levy Laplacian on manifold and Yang-Mills heat flow
Boris O. Volkov
A covariant definition of the Levy Laplacian on an infinite dimensional manifold is introduced. It is shown that a time-depended connection in a finite dimensional vector bundle is…
Levy Laplacians in Hida calculus and Malliavin calculus
Boris O. Volkov
Some connections between different definitions of Levy Laplacians in the stochastic analysis are considered. Two approaches are used to define these operators. The standard one is…
Levy Differential Operators and Gauge Invariant Equations for Dirac and Higgs Fields
Boris Volkov
We study the Levy infinite-dimensional differential operators (differential operators defined by the analogy with the Levy Laplacian) and their relationship to the Yang-Mills equat…
Method of averaging in Clifford algebras
D. S. Shirokov
In this paper we consider different operators acting on Clifford algebras. We consider Reynolds operator of Salingaros' vee group. This operator average" an action of Salingaros' v…