15 D. Dudaev St., Lviv, Ukraine

Phone: (0322) 74 1168; fax: (0322) 72 3704;
e-mail: dziu@cmm.lviv.ua

Principal study areas of the Center are:

– in the field of mathematical modeling:

– elaboration of continual-thermodynamic approach to constructing physical-and-mathematical models of mechanical, thermal and diffusion processes in multicomponent and multiphase bodies;

– elaboration of energy approach and 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 motion-forms;

– elaboration of locally-gradient approach to constructing mathematical models of multicomponent deformable solid solutions, considering local change of temperature and chemical potentials;

– elaboration of a procedure for constructing models of nonlinear binary systems.

In the field of mathematical physics:

– elaboration of an approach to describing diffusion processes in bodies with random multiphase material structure;

– a procedure for solving contact boundary-value problems of transfer;

– elaboration of spectral methods for one- and two-dimensional integral equations of convolution-type on the basis of polynomials and Chebyshev-Lagerra functions;

– forming conditions for the existence of uniqueness of solutions of boundary-value elasticity theory problems – a variational formulation of nonlinear boundary-value elasticity theory problems.

In the field of calculation experiment and optimization:

– elaboration of numerical approaches to modeling the processes of plant-protection means penetration into the soil; determining hydraulic-and-chemical parameters of substance migration on the basis of available experimental data.

The studies are performed within the framework of research school for the problems of continual-thermodynamic modeling and optimization of nonlinear locally nonequilibrium systems (headed by Prof. Ya.Yo.Burak, NAS corresponding member).

The Center proposes for commercialization:

1. prognostic models of the spreading of biologically active substances (nitrates, pesticides, heavy metals etc.) in soils and structure elements of protective facilities;

2. modeling and optimization of energy-and-mass transfer in the inhomogeneous multi-linked areas;

3. modeling and optimization of drying regimes for porous and loose materials;

4. rational design of thin-film protective coatings.