Founded on March 16, 1992.
Primary research lines of the Center are:
In mathematical modelling:
- developing continual-thermodynamic approach to the construction of physical&mathematical models: mechanical, thermal, and diffusion processes in multicomponent and multiphase bodies;
- developing an energy approach and a tensor-base expansion method to constructing mathematical models for quantitative description of dynamic processes in thin-walled plates and shells, considering the inertia of translational and rotational motions;
- developing a locally-gradient approach to constructing mathematical models of multicomponent deformable solid solutions, considering local changes in temperature and chemical potential;
- developing a procedure for constructing nonlinear models of binary systems.
In mathematical physics:
- developing an approach to the description of diffusion processes in bodies with random multiphase material structure;
- procedures for solving contact boundary-value problems of transfer;
- developing spectral methods for one- and two-dimensional integral equations of convolution-type in the basis of polynomials and Chebyshev-Lagerra functions;
- forming the conditions for the existence of uniqueness of solutions of boundary-value elasticity theory problems – a variational formulation of nonlinear boundary-value problems of elasticity theory.
In the field of calculation experiment and optimization:
- developing numerical approaches to modelling the processes of plant-protection means penetration into the soil; determining hydraulic&chemical parameters of substance migration, relying on the known experimental data.
The studies are done within the framework of science school for the problems of continual&thermodynamic modelling and optimization of nonlinear locally nonequilibrium systems (headed by Prof. Ya. Yo. Burak, NAS Corr. Memb.).
Principal research achievements and developments:
- prognostic models of the diffusion of biologically active substances (nitrates, pesticides, heavy metals etc.) in soils and structure elements of protective facilities;
- modeling and optimization of energy-and-mass transfer in inhomogeneous multiconnected areas;
- modelling and optimization of drying modes for porous and loose materials;
- rational design of thin-film protective coatings.