The Abel equation and cosmological scalar field zeroes
... the ze-roes of the scalar field potential.
1. Yurov V. А. An application of Abel’s equation of first kind to the search of solutions of Friedman’s equations // Вестник РГУ им. И. Канта. 2010. Т. 4. С. 43—47.
2. Yurov A. V., Yurov V. A. Friedman vs. Abel: A connection unraveled // Journal of Mathematical Physics. 2010. Vol. 51. P. 082503: 1—17.
3. Yurov A. V., Yaparova A. V., Yurov V. A. Application of Abel Equation of 1st kind to in ation analysis for non-exactly solvable ...
ΛCDM-model with δ-function
... estimate the characteristic SFS arrival time, we introduce a simplified model with the δ-function and use the weak anthropic principle. It is shown that our model predicts a rather soon appearance of the SFS-singularity.
1. Yurov A. V., Astashenok A. V., Yurov V. A. The Cosmological Models with Jump Discontinuities // Eur. Phys. J. C. 2018. Vol. 78, iss. 7, 542. URL:
https://doi.org/10
. 1140/epjc/s10052-018-6020-9 (дата обращения: 11.02.2019).
2. Barrow J. D. Sudden Future Singularities ...
An impacton solution for the vortex filament
... and Solitons. Berlin ; Heidelberg, 1991.
5. Dubard P., Gaillard P., Klein C., Matveev V. On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation'// Eur. Phys. J. Spec. Top. 2010. Vol. 185. P. 247—258.
6. Yurov A. V., Yurov V. A. The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular “positons”, Arxiv: 1701.04903.
7. Lamb G. L. Elements of soliton theory // John Wiley & Sons. 1980.
Chirikov R., Yurov V.
vortex ...
Generalized Evans function for continuous spectrum
... Fredholm determinants // Arch. Ration. Mech. Anal. 2007. 186 (3). P. 361—421.
12.
Deng J.,
Nii S.
An infinite-dimensional Evans function theory for elliptic boundary value problems // J. Differential Equations.
2008. 244 (4).
P
. 753—765.
Yurov V.
Evans function, Zeta function, continuous spectrum.
8-12
Finite action principle and non-singular cosmological models
... divergent scalar curvature. Such models form an extremely narrow subclass and look quite unnatural. However, our goal is to show that such cosmologies are possible in principle without conflicting with current physical paradigms.
Yurova A. A., Yurov V. A., Yurov A. V.
cosmology, Friedmann equations, singularity, action, Desitter model
97-113
A surprising tale of long-periodic spin oscillations in the synthetic antiferromagnets: some exact solutions
... an infinite family of solutions associated with the degenerate hypergeometric functions, parameterized by a natural number N. One of those solutions with N = 2 produces the magnetization function which perfectly fits the experimental data.
Yurov V. A., Yurov A. V., Morgunov R. B.
synthetic antiferromagnets, domain walls, Schrödinger equation, degenerate hypergeometric equation
79-89
When to expect the unexpected singularities: the anthropic principle and the dark energy universe
... finite value of the scale factor. We analyze this situation using the example of SFS and get an unexpected result: the time of appearance of such features of the same order as the lifetime of the observed universe.
Yurov A. V., Yurova A. A., Yurov V. A.
dark energy, scalar fields, singularity, anthropic principle
59-67
Two-dimensional supersymmetric quantum mechanics and the Moutard transformations
... математическая физика. 1989. Т. 78, № 2. С. 289—296.
12. Юров А. В. Преобразование Дарбу в квантовой механике : учеб. пособие. Калининград, 1998.
Yurova A. A., Yurov A. V., Yurov V. A.
supersymmetry, Moutard transformation, quantum-mechanical Hamiltonian
81-95
The equilibrium states of a mtDNA mutagenesis: an analytics approach
... O. D. E. of third order. Next, we classify all possible solutions to that equation and derive an explicit general form of equilibrium (i. e. asymptotic) states of mtDNA as a function of a mitochondrial mutational spectrum.
Trufanova A. O., Yurov V. A.
mtDNA, mutagenesis, mutational spectrum, O. D. E., equilibrium states of DNA
90-96
Worlds «Phoenix»
... problem includes this universe, which exists ordered observers, exists for no more than a second, after which it is destroyed by a bubble of a new phase. The mass of the superheavy gravitino is estimated to be one more than Page's estimate.
Yurov V. A., Yurova A. A.
Boltzmann brain, phase transitions, cosmological constant, gravitino mass
80-85
Inertial oscillations induced by the propagation of the Vis-tula Lagoon waters in the coastal zone of the Southeastern Baltic Sea
... зондирования Земли из космоса. 2014. № 11. С. 76—99.
11. Kahru M., Elmgren R. Multidecadal time series of satellite-detected accumulations of cyanobacteria in the Baltic Sea // Biogeosciences. 2014. № 11. P. 3619—3633.
Yurov V., Yurova A.
the confluence of fresh water, the Coriolis force, the intrusion of fresh water
51-65
An application of the Abel equation of first type to the task of solving the Friedman equations
...
Chervon S.
V., Zhuravlev V.
M., Shchigolev V.
K.
New exact solutions in standard inflationary models // Phys. Lett. B398. (1997) 269—273.
9.
Felder G., Frolov A.
et al. Cosmology With Negative Potentials // Phys. Rev
.
D
66 (2002) 023507.
Yurov V. A.
Abel equation, Einstein-Friedmann equations, scalar field.
43-46