Zobrazeno 1 - 10
of 22
pro vyhledávání: '"P. M. Akhmet'ev"'
Autor:
P. M. Akhmet’ev
Publikováno v:
Theoretical and Mathematical Physics. 209:1620-1632
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dc34f1a8c19cad91d9392672654a569
https://doi.org/10.1134/s0040577921110088
https://doi.org/10.1134/s0040577921110088
Autor:
P. M. Akhmet’ev
Publikováno v:
Theoretical and Mathematical Physics. 204:947-956
The mean magnetic field equation describes the process of generating a magnetic field on a large scale as a result the EMF arising on a small scale. We consider the case where the large-scale magnetic field is also random and determine the density fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79871ca1fd9f3cdbd9dbb1e17d807788
https://doi.org/10.1134/s0040577920070089
https://doi.org/10.1134/s0040577920070089
Autor:
Olga Frolkina, P. M. Akhmet’ev
Publikováno v:
Journal of Mathematical Sciences. 248:524-543
In this paper, we introduce a geometric technique of working with skew-framed manifolds. It allows us to study stable homotopy groups of some Thom spaces by geometric means. We schematically describe how our results (which are also of independent int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::955e1e83093b49a4d037eddb58528c1a
https://doi.org/10.1007/s10958-020-04894-y
https://doi.org/10.1007/s10958-020-04894-y
Autor:
P. M. Akhmet’ev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 308:42-55
The mean value of an asymptotic invariant of a knotted trajectory of a Ghys-Dehornoy geodesic flow is calculated. The result is important for investigating the magnetostatic equilibrium state of a magnetic field in a liquid conducting medium.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16a3fdb212e91a4836b14472dc0e2f8f
https://doi.org/10.1134/s0081543820010046
https://doi.org/10.1134/s0081543820010046
Publikováno v:
Qualitative Theory of Dynamical Systems. 20
For a wide class of dynamical systems known as Pixton diffeomorphisms the topological conjugacy class is completely defined by the Hopf knot equivalence class, i.e. the knot whose equivalence class under homotopy of the loops is a generator of the fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2ff0ff38590be40ee15551122a43083
https://doi.org/10.1007/s12346-021-00518-1
https://doi.org/10.1007/s12346-021-00518-1
Publikováno v:
Geomagnetism and Aeronomy. 57:113-118
Modern models of nonlinear dynamo saturation in celestial bodies (specifically, on the Sun) are largely based on the consideration of the balance of magnetic helicity. This physical variable has also a topological meaning: it is associated with the l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::402d1b98b91f291689d4cfa54846744a
https://doi.org/10.1134/s0016793217010133
https://doi.org/10.1134/s0016793217010133
Autor:
P. M. Akhmet’ev
Publikováno v:
Journal of Mathematical Sciences. 208:24-35
We propose a definition of a higher asymptotic ergodic invariant of finite type for a divergence-free vector field in a three-dimensional ball and partially construct an example of such an invariant. Bibliography: 6 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::318f341c52f57be7d910f16768ab7754
https://doi.org/10.1007/s10958-015-2420-7
https://doi.org/10.1007/s10958-015-2420-7
Autor:
P. M. Akhmet’ev
Publikováno v:
Journal of Mathematical Sciences. 200:12-25
We introduce a new asymptotic invariant of magnetic fields, namely, the quadratic (and polynomial) helicity. We construct a higher asymptotic invariant of a magnetic field. We also discuss various problems that can be solved by using the magnetic hel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::215b0631764ed6eba03abb63c94f185b
https://doi.org/10.1007/s10958-014-1900-5
https://doi.org/10.1007/s10958-014-1900-5
Publikováno v:
JETP Letters. 91:215-218
The dynamics of the magnetic helicity during the electroweak phase transition in the early Universe is studied. It is shown that the boundary surface between symmetric (hypermagnetic) phase and Maxwellian phase with a broken symmetry is a membrana fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4e57589496bcb98feaa316d51449cbf
https://doi.org/10.1134/s0021364010050024
https://doi.org/10.1134/s0021364010050024
Autor:
P. M. Akhmet’ev
Publikováno v:
Journal of Mathematical Sciences. 159:761-776
We present an approach to the Kervaire-invariant-one problem. The notion of the geometric (ℤ/2 ⨁ ℤ/2)-control of self-intersection of a skew-framed immersion and the notion of the (ℤ/2 ⨁ ℤ/4)-structure on the self-intersection manifold of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::943dce973cbe3bae5483868cafe4f5d3
https://doi.org/10.1007/s10958-009-9468-1
https://doi.org/10.1007/s10958-009-9468-1