## Science

__Areas of research of mathematical analysis and optimization techniques ( over the past 10 years)__

1. Geometry and topology of submanifolds in Riemannian and puffs and finslerovyh spaces. Mean curvature flows.

Supervisor - Corresponding Member of NAS of Ukraine, Doctor of Physical and Mathematical Sciences, Professor Borisenko A.A.

2. Mathematical modeling of hydro.

Supervisor - Doctor of Science, Professor Kostornoy S.D.

3. Mathematical modeling of thermal and mechanical fields during phase transformations of materials.

Supervisor - Candidate of Physical and Mathematical Science, Associate Professor Yachmenev V.A.

4. Impact of hierarchical structure and self-similarity on the behavior of complex solid-state systems.

Supervisor - Doctor of Dhysical and Mathematical Sciences, Associate Professor Shuda I.A.

5. Development and application of innovative technologies in the study of mathematics.

Supervisor - Candidate of Pedagogical Sciences, associate professor Odarchenko N.I.

__State budget and self-supporting subjects under the directions of research:__

- Mathematical modeling of thermal and mechanical fields during phase transitions materials (№ 0110U004792).

Head - Candidate of Physical and Mathematical Science, Associate Professor Yachmenev V.A.

- Development and application of innovative technologies in the study of mathematics (№ 0110U004792).

Head - Candidate of Pedagogical Sciences, associate professor Odarchenko N.I.

- Automatic blade design hydraulic machines based on mathematical modeling of fluid flow (№ 0110U007637).

Head - Doctor of Science, Professor Kostornoy S.D.

- Calculation of the multi-flow centrifugal pump based on viscous forces of the liquid (№ 51.23 - 01.12.SP).

Head - . Doctor of Science, Professor Kostornoy S.D.

- Complex calculations by flow parts of pumps of type D (№ 51.23 - 02.12.SP).

Head - Doctor of Science, Professor Kostornoy S.D.