Игорь Клебанов - Academia.edu (original) (raw)

Игорь Клебанов

Игорь Клебанов

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Papers by Игорь Клебанов

Research paper thumbnail of Математическое моделирование пространственного распределения поля директора нематического жидкого кристалла в ячейке с компланарными электродами

The cell with in-plane electrodes filled with a nematic liquid crystal (NLC) is considered. Rigor... more The cell with in-plane electrodes filled with a nematic liquid crystal (NLC) is considered. Rigorous analytical expression for the spatial distribution of electric field across a cell is retrieved. In one-constant approximation of the continual theory the method of Rietz allows evaluating distribution of the director field of the NLC in a cell. Calculations are implemented for planar alignments of NLC and positive dielectric anisotropy. It was demonstrated that theoretical and experimental results are in good accordance.

Research paper thumbnail of Model of the Newtonian cosmology: Symmetries, invariant and partially invariant solutions

Communications in Nonlinear Science and Numerical Simulation, 2016

Symmetry group of the equation system of ideal nonrelativistic self-gravitating fluid with zero p... more Symmetry group of the equation system of ideal nonrelativistic self-gravitating fluid with zero pressure is calculated. Submodel invariant under the subgroup of rotations SO(3) is built and symmetry group of the factorsystem is calculated. A particular analytical invariant solution of the factorsystem is obtained.

Research paper thumbnail of Математическое моделирование пространственного распределения поля директора нематического жидкого кристалла в ячейке с компланарными электродами

The cell with in-plane electrodes filled with a nematic liquid crystal (NLC) is considered. Rigor... more The cell with in-plane electrodes filled with a nematic liquid crystal (NLC) is considered. Rigorous analytical expression for the spatial distribution of electric field across a cell is retrieved. In one-constant approximation of the continual theory the method of Rietz allows evaluating distribution of the director field of the NLC in a cell. Calculations are implemented for planar alignments of NLC and positive dielectric anisotropy. It was demonstrated that theoretical and experimental results are in good accordance.

Research paper thumbnail of Model of the Newtonian cosmology: Symmetries, invariant and partially invariant solutions

Communications in Nonlinear Science and Numerical Simulation, 2016

Symmetry group of the equation system of ideal nonrelativistic self-gravitating fluid with zero p... more Symmetry group of the equation system of ideal nonrelativistic self-gravitating fluid with zero pressure is calculated. Submodel invariant under the subgroup of rotations SO(3) is built and symmetry group of the factorsystem is calculated. A particular analytical invariant solution of the factorsystem is obtained.

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