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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):
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- 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.