Current Research Activities:

  • Non-linear dynamics of continuous and discrete systems.
  • Hamiltonian mechanics - geometric foundations, symmetries, integrability and chaos.
  • Mechanics of media with micro- and nanostructure.
  • Non-linear transport theory, thermodynamics of continua.
  • Variational principles, symmetries and conservation laws.
  • Non-linear electrodynamics, generalized non-linearities of the Born-Infeld type, gauge theories, defects.
  • Relativistic theories of continua with astrophysical aspects.
  • 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:

  • deformable bodies, electromagnetic field, transport phenomena, quantum mechanics, phonons, symmetries, conservation laws, 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.