Institute of Mechanics, Bulgarian Academy of Sciences

Expertise in the field of modelling

Fluid mechanics

  • Mathematical modeling and numerical simulation of liquid and gas flows encountered in technological and chemical processes in the environment;
  • Study of the dynamics and stability of capillary jets and droplets as well as thermo- and concentration-capillary instability of one- and two-layer systems of viscous liquids and binary systems;
  • Research of magnetohydrodynamic and electrohydrodynamic instability of magnetic and dielectric liquids;
  • Application of a hydrodynamic approach in modeling processes in the near-Earth cosmic space (atmosphere, ionosphere and magnetosphere). The interaction between the solar wind and comets or nonmagnetic planets is modeled numerically;
  • Linear and nonlinear time series analysis of the evolution of the fluid system characteristics;
  • Development and application of methods for analytical and numerical solution of nonlinear differential, integral and integro-differential equations associated with the description of fluid systems;
  • Research and mathematical modeling of the dynamics and effectiveness of the flotation and separation for systems and equipment in mining and the food industry, as well as in water purification systems for the needs of the ecology and environment protection;
  • Application of mathematical tools developed in connection with the mechanics and statistical mechanics of fluids and focused on the study of kinematics, dynamics and evolution of complex mechanical, chemical, biological, economic and social systems;
  • Numerical and analytical study of flows in bio-fluids with application in the field of micro- and nano-mechanics of cell movement;


Solid mechanics

  • Dynamics, stability and equilibrium of structures accounting for large deformations and inelastic material properties
  • Wave propagation in anisotropic solids containing cracks, inclusions and layers
  • Fluid-structure interaction
  • Contact and coupled problems in thermoelasticity and plasticity
  • Fracture and structure modification of metals during plastic forming
  • Soil and rock mechanics
  • Mathematical modeling of multifunctional and composite solids
  • Numerical simulation of light scattering and polarization by microparticles
  • Damage detection methods
  • Non-destructive testing of solids and structures using laser-optical, electromagnetic and acoustic emissions



  • Study of the human structures and functions on macro-, micro- and nano-levels.  Methods of non-linear continuum mechanics, of deterministic and statistical analyses of biomedical time series, of phase and bifurcation analyses of dynamical models, as well as 3D computer modeling and simulation of human motions are used.


Physico-chemical mechanics

  • Design and characterization of macro-, micro- and nano-structured materials based on approaches of mechanics, physics, chemistry and engineering


Mathematical modelling and numerical simulations

  • Mathematical modeling and numerical simulations of phenomena and processes occurring in nonhomogeneous many-particle systems
  • Mathematical modeling and numerical simulations of multi-scale processes and phenomena in micro- and nano-fluidic systems


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