9 citations · 47 across the 10 of their papers we have counts for
10 papers
From Geometry to Physics -- AZ: touches to the portrait
Yurii Ignat'ev
The process launched by Lobachevsky. The movement of the Kazan school of geometry towards physics. Personal memories of Alexei Zinovievich Petrov, the great Kazan geometer and theo…
Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid
Yu. G. Ignat'ev
A mathematical model of the evolution of spherical perturbations in a cosmological ideal scalar-charged fluid with scalar Higgs interaction is constructed. A closed mathematical mo…
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid
Yu. G. Ignat'ev
A phenomenological model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with rules of transition…
Cosmological models based on an asymmetric scalar doublet with kinetic coupling of components. II. Numerical modeling
Yu. G. Ignsat'ev, I. A. Kokh
Numerical modeling of a mathematical model of the cosmological evolution of an asymmetric scalar doublet with kinetic interaction between the components was carried out. A wide ran…
Self-gravitating Higgs field of scalar charge. II. Asymmetric scalar doublet
Yu. G. Ignat'ev
The self-gravitating Higgs field of a scalar charge is studied for the case of an asymmetric scalar doublet containing, along with a canonical and a phantom component. It is shown…
Self-gravitating Higgs field of scalar charge
Yu. G. Ignat'ev
The self-gravitating Higgs field of a scalar charge has been studied. It is shown that in the zero and first approximation of the smallness of the scalar charge, the gravitational…
Formation of supermassive nuclei of Black holes in the early Universe by the mechanism of scalar-gravitational instability. III. Large scale picture
Yu. G. Ignat'ev
The dependence of the parameters of the evolution of scalarly charged Black Holes (BHs) in the early Universe on the parameters of field-theoretic theories of interaction, the infl…
Formation of supermassive nuclei of Black holes in the early\\[8pt] Universe by the mechanism of scalar-gravitational instability. II. The evolution of localized spherical perturbations
Yu. G. Ignat'ev
Based on the previously formulated theory of spherical perturbations in the cosmological medium of self-gravitating scalarly charged fermions with the Higgs scalar interaction and…
Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Couplings. II. Numerical Modeling of Phase Trajectories
Yu. G. Ignat'ev, I. A. Kokh
With the help of our own software package DifEqTools, numerical modeling of the cosmological evolution of a system consisting of an asymmetric scalar doublet of nonlinear, minimall…
Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Couplings. I. Qualitative Analysis of the Model
Yu. G. Ignat'ev, I. A. Kokh
A qualitative analysis of a cosmological model based on the asymmetric scalar doublet classical + phantom scalar field with minimal interaction is performed. It is shown that depen…