Research Units

Research

Current Research Activities:

• Analytical mechanics of discrete and continuous media with micro- and nanostructure (including low-dimensional ones).
• Mathematical description of essentially nonlinear phenomena in non-homogeneous media with non-trivial geometry (including those on curved shells and membranes/biomembranes).
• Mechanics of infinitesimal deformable test bodies moving on two-dimensional curved surfaces embedded into three-dimensional Euclidean space.
• Theoretical description of distributions of spin textures/magnetic excitations on curved surfaces (e.g., on shells, membranes/biomembranes, nanostructures, etc.).
• Non-linear transport theory, thermodynamics of continua.
• Quantum and statistical foundations of the theory of continuous media, gases, quantum fluids and phonon gases.
• Non-linear theory of molecular orientation in polymers and experimental verification.
• Kinetics of non-stationary nucleation and crystallization of polymers under variable thermodynamic conditions - theory and experiment.
• Kinetics of polymorphic phase transitions in polymers - theory and experiment.
• Computer simulation of molecular dynamics in polymer systems.
• Mathematical modeling and computer simulation of fibers and nanofibers formation.
• Electrospinning of nanofibers for biotechnological applications.
• Linear and non-linear optical effects in nanophotonic structures.
• Nonspecular effects of reflection and transmission of electromagnetic field.
• Generation, propagation and diffraction of higher-order optical beams and pulses.
• Hermite-Gaussian and Laguerre-Gaussian beams and pulses in resonance dielectric and metamaterial structures.
• Spin and orbital angular momentum, optical vortices, polarization of optical field.
• Generation, propagation and applications of surface plasmon polaritons.
• Nanovisualisation in optical near field, optical trapping of nanoparticles, self-assembling of nanostructures in optical fields.
• Optical solitons, optical bistability.
• Fast and slow optical pulses.
• Ultrasonic sensors for investigations of the physical properties of materials (solids and liquids):
  • measurements of liquid viscosity under high pressures,
  • application of the SH bulk and surface acoustic waves (Love and Bleustein-Gulyaev) for investigation of the rheological parameters of liquids,
  • acoustic sensors for detection and measurement of the concentration of the flammable and hazardous,
  • determination of the elastic parameters of thin solid films.

Key Words:

• media with micro- and nanostructure, surfaces with non-trivial geometry, infinitesimal deformable test bodies, geodesic/geodetic solutions, distributions of spin textures/magnetic excitations.
• transport phenomena, quantum mechanics, phonons, relativistic fields and particles.
• molecular orientation, non-linear elastooptics, molecular dynamics, nucleation, crystallization kinetics, non-isothermal crystallization, oriented crystallization, polymorphic phase transitions, computer modeling, electrospinning.
• photonics, plasmonics, spintronics, nanovisualisation, nanomanipulation, optical beams, optical pulses, optical vortices, non-specular effects, optical bi-stability, surface plasmon polaritons, meta-materials, optical resonators, optical concentrators.

Proposed Ph.D. Projects:

Achievements

➤Habilitations

➤Ph.D. Theses

➤Patents

➤Publications

Publications

Apparatus

Proposed PhD

Proposed Ph.D. Projects: